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Dunford N., Schwartz J.T. — Linear operators. Part III. Spectral operators
Dunford N., Schwartz J.T. — Linear operators. Part III. Spectral operators

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Название: Linear operators. Part III. Spectral operators

Авторы: Dunford N., Schwartz J.T.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 689

Добавлена в каталог: 13.11.2013

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Предметный указатель
$e$-essentially bounded $\Sigma$-measurable functions, definition, properties of      XV.9 (1964)
$i^{-n}(d/dx)^{n}$, special properties of      XIX.4 (2319)
$\check{C}$umakin, M. E.      2129
$\check{S}$ilov, G. E.      2102
$\check{S}$mul’jan, Ju. L.      2129
$\check{S}$varc, A. S.      2133
$\mathfrak{X}$-complete Boolean algebra of projections in $\mathfrak{X}^{*}$, definition of      XVIII.3.9 (2270)
${}^{*}$-isomorphisms between $B^{*}$-algebras      XV.9.1 (1966)
Adamjan, V. M.      2107 2129 2511
Adjoint of an operator, definition of      XIX.3.6 (2311)
Aeschylus      2055
Aleksandrjan, R. A.      2128 2374
Alembert, J. d’      2060
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$      XV.9 (1959)
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, equivalence of      XV.9.3 (1967)
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, generalized nilpotents in      XV.9.4 (1968)
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, inverses in      XV.9.6 (1968) XV.9.7
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, spectral analysis of operators in      XV.10 (1970)
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, spectral operators in      XV.10.6 (1977) XV.10.7
Algebras, $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$, spectrum of an operator in      XV.9.7 XV.9.8 XV.9.9
Algebras, containing all inverses, definition of      XV.14.4 (2067)
Algebras, containing all inverses, examples of      XV.14.3 (2067) XV.14.5 XV.14.6 XV.14.9
Algebras, of continuous functions, representations as operator algebras      XVII.2.4-5 (2184 2186)
Algebras, of scalar type operators, equivalence to essentially bounded functions      XVII.2.10 (2189)
Algebras, of scalar type operators, properties of      XVII.2.11 (2191)
Allahverdiev, D$\check{z}$. $\grave{E}$.      2374
Allan, G. R.      2090
Altman, M.      2131
Analytic extension of $R(\xi; T)x$, definition of      XV.2 (1931)
And$\hat{o}$, T.      2128 2129 2131
Andersen, E. S.      2103
Apostol, C.      2089 2090 2106 2107 2113 2115 2116 2117 2128 2129 2510
Archimedes      2062
Aristotle      2056 2057
Aronszajn, N.      2129
Arov, D. Z.      2107 2129 2511
Arveson, W. B.      2129
Askerov, N. G.      2374
Asymptotic series, definition of      XIX. 3 (2310)
Atkinson, F. V.      2103 2133
Bade, W. G.      xi xiv 2089 2094 2109 2178 2194 2195 2205 2208 2214 2218 2225 2226 2264 2288
Bade’s functional for a Boolean algebra      XVII.3.12 (2205) XVIII.3.14 XVIII.3.26
Bade’s representation theorems      XVIII.3.19 (2274) XVIII.3.30 XVIII.3.36
Bade’s theorem on representation of closed operator algebras      XVII.3.18 (2214)
Bahtin, I. A.      2131
Balabanov, V. A.      2510
Balslev, E.      2131 2374 2490 2491 2510
Banach, S.      vi
Barry, J. Y.      2225
Bartle, R. G.      2050 2090 2114 2176
Baumg$\ddot{a}$rtel, H.      2510
Baxter, G.      2103
Beals, R. W.      2510
Berberian, S. K.      2128 2129
Berezanski$\breve{i}$, Ju. M.      2374
Berezhin, F. A.      2510
Berkson, E.      2081 2089 2090 2094 2096 2097 2105 2107 2124 2174 2226
Bernau, S, J.      2128
Bernstein, A. R.      2129
Beurling, A.      2121
Biriuk, G.      2128 2129
Birkhoff, G.      2131
Birkhoff, G. D.      vi vii xii 2326 2371 2372
Birman, M. $\check{S}$.      2374 2498 2500 2501 2503 2506 2510 2511
Bishop, E.      2084 2090 2091 2110 2111 2113
Bisshopp, F. E.      2510
Bohr, Niels      2057
Bonsall, F. F.      2105 2128 2131
Boolean algebra of projections, uniformly closed operator algebra generated by      XVII.2.1 (2179)
Boolean algebras of projections in Hilbert space      XV.6.2 XV.6.3
Bos, W.      2128
Bound for $\Sigma^{m}_{n=1} A_{n}E(\sigma_{n})$      XV.6.8 (1949)
Bounded Boolean algebras of projections, in a weakly complete space      XVII.3.18-20 (2214)
Bounded operators in Hilbert space, commutivity with adjoint      XV.6.6 (1948)
Bounded spectral operators in Hilbert space      XV.6 (1945)
Bourbaki, N.      vi
Bram, J.      2129
Branges, L. de      2129 2506 2510
Brehmer, S.      2129
Breuer, M.      2131 2133
Brodski$\breve{i}$, M. S.      2122 2129
Brodski$\breve{i}$, V. M.      2131
Broido, M. M.      2128
Browder, F. E.      2373
Brown, A.      2128
Brown, C. C.      2090
Brownell, F. H.      2497 2510 2511
Bruijn, N. G. de      2129
Buraczewski, A.      2131
Butler, J. B.      2374 2493 2510
Calder, Alexander      2062
Canonical decomposition or reduction of a spectral operator, definition of      XV.4.6 (1940)
Canonical decomposition or reduction of a spectral operator, existence and uniqueness of      XV.4.5 (1939) XV.16
Canonical reduction of a spectral operator      XV.4 (1937)
Caradus, S. R.      2131 2133
Carrier projection of a vector, definition of      XVIII.3.4 (2266)
Cartan, H.      2128
Cauchy — Riemann equations, spectral operator associated with      XV.12 (2020-2023)
Cekanovski$\breve{i}$, $\grave{E}$. R.      2122
Change of measure principle      XVII.2.8 (2188)
Chow, T. R.      2102
Chrysippus      2056
Chung, K. L.      2131
Cior$\breve{a}$nescu, I.      2129
Clark, C.      2371
Coburn, L. A.      2131 2133 2510
Coddington, E. A.      2128 2129 2372 2374
Colojoar$\breve{a}$, I.      vi 2089 2090 2091 2092 2093 2100 2106 2113 2114 2115 2117 2118 2119 2120 2122 2175 2509 2510
Compact spectral operators      XV.7.3 (1951)
Complete ($\sigma$-complete) Boolean algebras of projections, definition of      XVII.3.1 (2195)
Complete ($\sigma$-complete) Boolean algebras of projections, existence of multiplicity function for      XVIII.3.8 (2267)
Complete ($\sigma$-complete) Boolean algebras of projections, multiplicity function for      XVIII.3.1 (2264) XVIII.3.3
Complete ($\sigma$-complete) Boolean algebras of projections, properties of      XVII.3.3 (2196) XVII.3.4 XVII.3.5 XVII.3.6 XVII.3.7-8 XVII.3.9 XVII.3.10 XVII.3.11 XVII.3.13 XVII.3.14 XVII.3.15 XVII.3.16 XVII.3.17 XVII.3.21 XVII.3.23 XV1I.3.24 XVII.3.25
Complete and countably additive measure space of projections, definition of      XV.9 (1964)
Conley, C. C.      2495 2510
Convolution algebras      XV.14 (2063-2070)
Convolutions, in $L_{2} (R^{N})$, examples, Calder$\acute{o}$n — Zygmund type with odd kernel      XV.11.16 (2000)
Convolutions, in $L_{2} (R^{N})$, examples, convolution by an $L_{1}$ function      XV.11.12 (1998)
Convolutions, in $L_{2} (R^{N})$, examples, convolution by an $L_{2}$ function      XV.11.13 (1998)
Convolutions, in $L_{2} (R^{N})$, examples, Hilbert transform      XV.11.15 (2000)
Convolutions, in $L_{2} (R^{N})$, examples, principal value and single convolutions      XV.11.14 (1999)
Convolutions, in $L_{2} (R^{N})$, examples, translation      XV.11.11 (1998)
Convolutions, proper and improper      XV.11 (1990-2000)
Convolutions, proper and improper, as operators in $\mathfrak{U}$      XV.11.4 (1993) XV.11.5 XV.11.8 XV.11.9
Convolutions, proper and improper, equivalence of algebra of - with $L_{\infty}$      XV.11.10 (1998)
Convolutions, proper and improper, strong completeness of the algebra of      XV.11.6 (1995)
Cook, J. M.      2508 2511
Cook’s method      XX.6 (2508)
Cordes, H.-O.      2131 2133
Countable chain condition for a projection, definition of      XVIII.3.4 (2266)
Crimmins, T.      2129
Cyclic subspace spanned by a vector, definition of      XVIII.3.4 (2266)
Davis, C.      2128 2510
Day, M. M.      2098 2130 2225
Deal, E. R.      2090 2098
Dean, D. W.      2089 2100
Deckard, D.      2106 2128 2131
Decomposable operators      XV.11.22 (2006) XV.16
Democritus      205 7
Deprit, A.      2090 2131
Derr, J.      2090
Descartes, Ren$\acute{e}$      2056
Determinant of an operator in $\mathfrak{U}^{p}$      XV.9 (1968)
Determinism, various forms of      XV.13 (2055-2063)
DeWilde, M.      2131
Diderot, Denis      2060
Dieudonn$\acute{e}$, J.      2133 2225 2288
Diodorus Cronus      2056
Direct sum $\mathfrak{h}^{\nu}$, equivalence between $\mathfrak{h}_{p}(B(\mathfrak{H}))$ and $B(\mathfrak{H}^{p}))$      XV.9 (1961-1963)
Direct sum $\mathfrak{h}^{\nu}$, operators and their adjoints on      XV.9 (1960-1963)
Discrete operator, definition of      XIX.2.1 (2291)
Discrete operator, properties of      XIX.2.2 (2292) XIX.2.3 XIX.2.5 XIX.2.6
Discrete spectral operator, examples of      XIX (2303-2307) XIX.3.3 XIX.3.10 XIX.4.8 XIX.4.13 XIX.4.14 XIX.4.16 XIX.5.6 XIX.5.7 XIX.5.8 XIX.5.11 XIX.5.12
Discrete spectral operator, perturbation of      XIX.2.7 (2296) XIX.2.9 XIX.3.11 XIX.3.12
Dixmier, J.      2098
Dollinger, M. B.      2090 2093 2176
Dolph, C. L.      2090 2128 2510 2511
Donoghue, W. F., Jr.      2128 2129 2131 2510
Dostoevsky, Fyodor M.      2060 2061
Dowson, H. R.      2089 2094 2095 2096 2097 2124 2225 2226
Duncan, J.      2105 2128
Dunford, N.      ix 2089 2090 2091 2092 2093 2096 2097 2099 2101 2102 2116 2173 2225
Dupras, A.      2494 2510
Duren, P. L.      2122 2129
Durszt, E.      2128 2129
Eberly, W. S.      2131
Edwards, D. A.      2089 2090 2225
Eigenvalue expansions in $A^{(n)}(J)$      XIX.3.13 (2318)
Eigenvalue, definition of      XV.8.1 (1955)
Eigenvector, definition of      XV.8.1 (1955)
Einstein, Albert      2057
Elliott, J.      2372
Ellis, A. J.      2131
Ellis, R. J.      2131
Entina, S. B.      2506 2511
Epping, J.      2059
Equivalence of $\mathfrak{U}^{p}$ and $\hat{\mathfrak{U}}^{p}$      XV.9.3 (1967)
Ercolano, J.      2374
Esajan, A. R.      2131
Eubulides      2056
Euclid      2056
Euripides      2055
Extremally disconnected spaces      XVII.5.16 (2225)
Faddeev, L. D.      2378 2497 2501 2507 2510 2511
Fan, K.      2129
Feldman, J.      2089 2129
Feldzamen, A. N.      2089 2225
Fi$\check{s}$man, K. M.      2131
Fixman, U.      2081 2084 2089 2093 2094 2097 2172 2173 2174 2223
Foguel, S. R.      ix 1950 1955 2084 2089 2090 2099 2101 2102 2104 2129 2225 2226 2510
Foia$\k{s}$, C.      vi 2089 2090 2091 2092 2093 2096 2100 2107 2113 2114 2115 2116 2117 2118 2119 2120 2122 2128 2129 2175 2226 2374 2509 2510
Ford, G. C.      2373
Fourier transform, in $L_{2}(R^{N})$, properties of      XV.11.3 (1988)
Fourier transform, in $L_{2}(R^{N})$, uniqueness theorem for      XV.14.1 (2064)
Fourier transform, in $\mathfrak{H}^{p}$      XV.12 (2011)
Freeman, J. M.      2122 2442 2482 2494 2510
Freeman, R. S.      2374
Friedman, B.      2373
Friedrichs, K. O.      vi xii xiii xiv 2376 2400 2484 2485 2494 2495 2497 2499 2500 2501 2502 2507 2510 2511
Friedrichs’ method, for the discrete spectrum      XX.3 (2448)
Friedrichs’ method, for the discrete spectrum, examples of      XX.3.1 (2448) XX.3.2 XX.3.3
Friedrichs’ method, of similar operators      XX.2 (2400)
Friedrichs’ method, of similar operators, definition of similarity      XX.2.2 (2401)
Friedrichs’ method, of similar operators, examples of      XX.2.1 (2400) XX.2.3 XX.2.4 XX.2.6 XX.2.7 XX.2.8 XX.2.9 XX.2.10 XX.2.21 XX.2.22 XX.2.23 XX.2.24
Fuglede, B.      2093
Full algebra, definition of      XVII.1.1 (2177)
Full algebra, generated by commuting spectral operators      XVII.2.3 (2182) XVII.2.15 XVII.2.16
Function of a bounded spectral operator, formula for      XV.5.1 (1941)
Function of a bounded spectral operator, resolution of the identity for      XV.5.6 (1944)
Gamelin, T. W.      2131 2133 2490 2510
Geh$\acute{e}$r, L.      2107 2129
Gehtman, M. M.      2374 2511
Gelfand — Ra$\check{i}$kov theorem      XV.14.2 (2065)
Gelfand, I. M.      vi 2065 2102 2120
Generalized eigenfunctions, approximation by      XIX.5 (2351)
Generalized eigenvectors, condition for      XV.8.2 (1955)
Genet, Jean      2061
George, M. D.      2128
Gerlach, E.      2374
Ghika, A.      2128
Gide, Andr$\acute{e}$      2062
Giertz, M.      2374
Gilbert, R. C.      2129 2374 2511
Gillespie, T. A.      2131
Gil’derman, Ju. I.      2131
Gindler, H. A.      2090
Ginzburg, Ju. P.      2129
Glazman, I. M.      2374
Godic, V. I.      2129
Gohberg, I. C.      2071 2090 2103 2122 2128 2129 2131 2133 2374
Goldberg, S.      2132 2133 2374 2511
Gol’denger$\check{s}$el’, $\grave{E}$. I.      2122
Gol’dman, M. A.      2129 2133 2511
Gonshor, H.      2128
Gramsch, B.      2132 2133
Graves, L. M.      2132
Gray, J. D.      2089 2093
Greiner, P. C.      2374 2498 2511
Grothendieck, A.      2132
Groups of operators in Hilbert space, bounded Abelian      XV.6.1 (1945)
Gustafson, K.      2107 2511
H$\ddot{o}$rmander, L.      2374
H${\o}$egh-Krohn, J. R.      2510
Haahti, H.      2132
Haax, A.      2371
Hack, M. N.      2507 2511
Hadamaxd, J.      2102
Hadeler, K.-P.      2128 2511
Halmos, P. R.      2093 2095 2106 2128 2129 2132
Halperin, I.      2128 2129
Hamburger, H. L.      2355
Hasegawa, M.      2107 2511
Hasumi, M.      2129
Haxazov, D. F.      2090 2132 2374
Haxtogs, F.      2219
Heisenberg, Werner      205 7
Hell wig, G.      2374
Helson, H.      2129
Hempel, P.      2128
Herodotus      2055
Hertz, Heinrich, R.      2062
Hestenes, M. R.      2128
Heuser, H.      2132
Heyn, E.      2089 2107
Hilbert, D.      vi
Hildebrandt, S.      2128
Hille, E.      vi 2053 2102 2106
Hirschfeld, R. A.      2374
Hoffman, S. P., Jr.      2373
homer      x 2055
Hopf, E.      x 2103
Huige, G. E.      2374 2490 2491 2511
Hukuhaxa, M.      2132
Ikebe, T.      2497 2498 2511
Initial value problem, explicit calculations involved in      XV.12 (2050-2053)
Initial value problem, solution of      XV.12 (2049)
Inoue, S.      2128
Interval constancy, definition of      XVI.5.5 (2154)
Invariance of wave operators      XX.6 (2500-2506)
Invariant subspace, definition of      XVIII.3.11 (2270)
Inverse, algebras containing all      XV.14.4 (2067)
Inverses in $B^{*}$-subalgebras      XV.9.2 (1967)
Iohvidov, I. S.      2132
Ionescu Tulcea, C. T.      2089 2090 2091 2096 2107 2117 2129 2225 2288
Istr$\breve{a}$te$\k{s}$cu, V.      2128
It$\hat{o}$, T.      2129
Jakubov, S. Ja.      2128
Jauch, J. M.      2497 2498 2507 2511
Javrjan, V. A.      2511
Jean de France      2061 2062
Kaashoek, M. A.      2132 2133 2511
Kac, G. I.      2128
Kac, I. S.      2374
Kacnel’son, V. $\grave{E}$.      2128 2374
Kafka, Franz      2061
Kailin, S.      2131
Kakutani, S.      vi ix 1932 2089 2092 2098 2099 2100 2174 2177 2193
Kakutani’s example      XV.2 (1932)
Kalisch, G. K.      2122 2128 2494
Kal’mu$\breve{s}$evski$\breve{i}$, I. I.      2122
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