Dunford N., Schwartz J.T. — Linear operators. Part III. Spectral operators :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

Kamowitz, H.      2128
Kaniel, S.      2128 2132
Kantorovitz, S.      2089 2090 2092 2097 2100 2101 2104 2117 2119 2122 2174 2175 2224 2226
Kaplansky, I.      2226
Kariotis, C. A.      2090 2113
Kato — Kuroda theorem on perturbation of self adjoint operators      XX.4.9 (2460)
Kato, T.      vi xii xiv 2133 2377 2460 2497 2498 2503 2506 2507 2510 2511
Keldy $\check{s}$ , M. V.      2089 2122 2373 2374
Kelley, J. L.      2130
Kemp, R. R. D.      2374
Kesel’man, G. M.      2089 2092 2374
Kisilevski $\breve{i}$ , G. $\grave{E}$ .      2122
Kleinecke, D. C.      2107 2132
Kluv $\acute{a}$ nek, I.      2089 2101 2173 2175
Kocan, D.      2090 2176
Kodaira, K.      xiv
Komatsu, H.      2107
Konno, R.      2511
Koppelman, W.      2495
Korotkov, V. B.      2131
Kov $\acute{a}\breve{r}\acute{i}$ kov $\acute{a}$ , M.      2089 2101 2104
Kra $\check{c}$ kovski $\breve{i}$ , S. N.      2133 2511
Krabbe, G. L.      2089 2090 2106 2110 2174 2223
Kramer, H. P.      vii 2341 2343 2371
Kramer, V. A.      2374 2511
Krasnosel’ski $\breve{i}$ , M. A.      2131 2132 2133
Kre $\breve{i}$ n, S. G.      2374
Krem, M. G.      vi 2071 2090 2103 2122 2129 2130 2131 2133 2374 2500 2502 2503 2511
Kugler, F. X.      2059
Kultze, R.      2132
Kurepa, S.      2106
Kuroda, S.-T.      vi xii xiv 2374 2377 2460 2498 2503 2504 2508 2511
L $\acute{e}$ vy, P.      x 2069 2103
Labrousse, J. P.      2133
Lady $\check{z}$ enskaya, O. A.      2497 2511
Langer, H.      2511
Langer, R. E.      2371
Lanier, L. H., Jr.      2106 2107
Laplace, P. S. de      2057 2058 2060 2062
Laplacian operators, perturbations of      XV.12 (2023-2026) XV.12.18 XV.12.21 XV.12.22 XIX.3.11 XIX.4.16 XX.1.12 XX.2.22
Laptev, G. I.      2374
Lavrentieff, M.      2219
Lax, P. D.      2378 2510 2511
Lay, D. C.      2132
Leaf, G. K.      2090 2176
Lebow, A.      2090 2129 2131 2133
Leibniz, G. W. von      2056
Leucippus      2057
Leverrier, Urbain J. J.      2057 2058
Levi $\check{c}$ , E. M.      2129
Levin, B. Ja.      2127
Levinson, N.      2372
Levy’s generalization of Wiener’s theorem      XV.14.11 (2070)
Leza $\acute{n}$ ski, T.      2132
Lidski $\breve{i}$ , V. B.      2089 2122 2374
Lindenstrauss, J.      2100 2131 2132
Liouville, J.      vi xii
Littman, W.      2099
Liv $\check{s}$ ic, M. S.      2122
Ljance, V. $\grave{E}$ .      2089 2124 2125 2126 2127 2374 2491
Ljubi $\check{c}$ , Ju. I.      2090 2113 2114
Locke, John      2056
Loginov, B. V.      2511
Lorch, E. R.      2090 2098 2116 2175 2176 2225 2509
Lorentz, Hendrik A.      2057
Lotz, H. P.      2131
Lowdenslager, D.      2129
Lumer, G.      2089 2104 2105 2106 2107 2225
Luxemburg, W. A. J.      2132
M ${\o}$ ller, C.      2498
Macaev, V. I.      2090 2113 2114 2122 2128 2132 2374
MacCluer, C. R.      2128
Mackey, G. W.      2098
Maeda, F.-Y.      2089 2090 2091 2092 2111 2117 2119 2120 2371
Maltese, G.      2107
Mar $\check{c}$ enko, V. A.      2374
Marek, I.      2131
Martirosjan, R. M.      2133 2374 2511
Maurin, K.      2128 2374
Maurin, L.      2128
Maxkus, A. S.      2128 2132 2374 2511
Maxwell, James Clerk      2062
Mazur, S.      vi
McCarthy, C. A.      2082 2083 2084 2089 2099 2100 2101 2107 2174 2225
McGarvey, D. C.      2076 2089 2374
McKelvey, R.      2128 2129
McLaughlin, J. E.      2128
Mergelyan, S. N.      2219
Mewborn, A. C.      2131
Milne, W. E.      2372
Mimura, Y.      2226
Mishoe, L. I.      2373
Mitjagin, B. S.      2128
Miyadera, I.      2107 2511
Mkrt $\check{c}$ jan, R. Z.      2128
Mlak, W.      2107 2129
Mochizuki, K.      2511
Moore, Marianne      2062
Morawetz, C. S.      2510
Moser, J.      2491 2492 2493 2511
Moser’s theorems on the analyticity of the resolution of the identity and certain similar operators      XX.6 (2491-2493)
Moyal, J. E.      2089 2225
Multiplicity function, for a Boolean algebra of projections, definition of      XVIII.3.1 (2264)
Multiplicity function, on a complete Boolean algebra of projections      XVIII.3.8 (2267) XVIII.3.24
Multiplicity, of a projection in $\mathfrak{C}$ , definition of      XVIII.3.6 (2267)
Multiplicity, of the adjoint of a projection in $\mathfrak{C}$ , definition of      XVIII.3.22 (2278)
Muskhelishvili, N. I.      2103
Na $\breve{i}$ mark, M. A.      vi xii 2127 2167 2372 2375 2490 2510
Nakano, H.      2129 2226
Namioka, I.      2130
Nel, L. D.      2090 2288
Nelson, E.      2374
Neubauer, G.      ix 2090 2091 2101 2133
Neugebauer, O.      2058 2059 2060 2061 2102
Neumann, J. von      vi 2093 2128 2215 2225 2226 2508
Nevanlinna, F.      2128
Newberger, S. M.      2133
Newburgh, J. D.      2511
Newton, Isaac      vi 2057 2058 2062
Ni $\check{z}$ nik, L. P.      2511
Nieminen, T.      2128
Niiro, F.      2131
Nikol’ski $\breve{i}$ , N. K.      2129
Noether, F.      2133
Norm of $\hat{A}$ , definition of      XV.9 (1966)
Novosel’ski $\breve{i}$ , I. A.      2374
Oberai, K. K.      2090 2091 2099 2101 2102 2110
Olagunju, P. A.      2128 2132
Operational calculus, for bounded spectral operators      XV.5 (1941)
Operational calculus, for operators in $\mathfrak{U}^{2}$       XV.11.24 XV.11.25
Order of a boundary value, definition of      XIX.4 (2320)
Orland, G. H.      2128 2129
Osborn, J. E.      2511
Osher, S. J.      2122 2494 2511
Palant, Ju. A.      2374
Paley, R. E. A. C.      vi
Panchapagesan, T. V.      2090 2105 2107
Parseval — Plancherel theorem      XV.1 1.3 (1988)
Pavlov, B. S.      2127 2374
Paxaska, V. I.      2133 2511
Pearcy, C.      2106 2128 2131
Pedersen, N. W.      2090 2101
Pejczy $\acute{n}$ ski, A.      2100 2128 2132
Penzlin, F.      2090 2128 2511
Peressini, A. L.      2130 2131
Perturbations of discrete spectral operators, spectral properties of      XIX.2.8 (2302) XIX.5.6 XIX.5.7 XIX.5.8 XIX.5.11 XIX.5.12
Pettineo, B.      2132 2133
Pfl $\ddot{u}$ ger, A.      2129
Phelps, R. R.      2131
Phillips, R. S.      vi 2053 2102 2378 2493 2510 2511

Pietsch, A.      2090 2132
Pincus, J. D.      2374 2495
Plafker, S.      2090 2091 2096 2129
Plato      2056 2060
Poincar $\acute{e}$ , H.      2371
Porath, G.      2511
POVZNER, A.      2498
Prespectral operators, canonical reduction of      XV.16 (2096-2097)
Prespectral operators, definition of      XV.16 (2093)
Projection operators, Boolean algebra of      XV.2 (1928)
Projection operators, convergence of a generalized sequence      XVII.3.27-28 (2218) XVII.6
Projection operators, intersection of      XV.2 (1928)
Projection operators, natural ordering of      XV.2 (1928)
Projection operators, union of      XV.2 (1928)
Przeworska-Rolewicz, D.      2132 2133 2511
Pustyl’nik, E. I.      2374
Putnam, C. R.      2106 2128 2131 2481 2508 2511
Quantum mechanical three-body problem      XX.6 (2501) (2507)
Quantum theory of fields      XX.6 (2501) (2507)
Quasi-nilpotent operator, definition of      XV.4.2 (1938)
Quasi-nilpotent operator, spectrum of      XV.4.3 (1939)
Quasi-nilpotent part of a spectral operator, definition of      XV.4.6 (1941)
Ra $\breve{i}$ kov, D. A.      2065 2102
Radical part of a spectral operator, definition of      XV.4.6 (1941)
Range of a spectral operator      XV.7.5 (1951) XV.7.13 XV.8.14
Rapidly decreasing functions, definition of      XV.11 (1984)
Rapidly decreasing functions, Fourier transform of      XV.11.1 (1985)
Rapidly decreasing functions, neighborhoods in space of      XV.11 (1984)
Rapidly decreasing functions, sequential convergence in space of      XV.11 (1985)
Reduction problem, general case      XV.1 (1926)
Reduction problem, spectral reduction      XV.1 (1927)
Regular relative to , definition of      XVI.5.5 (2154)
Regular relative to , properties of      XVI.5.6 (2154) XVI.5.12 XVI.5.13 XVI.5.14
Rejto, P. A.      2494 2495 2497 2510 2511
Relations between a spectral operator and its scalar part      XV.7 (1950)
Rellich, F.      2219 2226
Renormalization      XX.6 (2501) (2507)
Resolution of the identity, definition of      XV.2.2 (1930)
Resolution of the identity, for an operator, condition for      XV.15.35 (2079)
Resolution of the identity, for an operator, definition of      XV.3.9 (1936)
Resolution of the identity, for an operator, existence of      XV.3.8 (1935)
Resolution of the identity, for an operator, non-vanishing on open sets      XV.15.15 (2076)
Resolution of the identity, for an operator, uniqueness of      XV.3.8 (1935)
Resolvent set of a vector, definition of      XV.2.6 (1931)
Resolvent, formula for      XV.5.2 (1942)
Resolvent, of a spectral operator      XV.3 (1933) XVI.1 (B) (C) (2134-2135) XVI.4.4 XVI.4.5
Restriction of a spectral operator, spectrum of      XV.8.5 (1956)
Rider, D. G.      2128
Riedl, J.      2131
Riesz, F.      vi vii 2225 2226 2510
Riesz, M.      vi
Ringrose, J. R.      2090 2094 2117 2122 2123 2132
Riviere, N.      2099
Robinson, A.      2129
Rofe-Beketov, F. S.      2374
Rolewicz, S.      2133
Rosenblum, M.      2489 2498 2511
Rosenthal, A.      2219
Rosenthal, P.      2129
Rota, G.-C.      2103 2129 2131
Rovnyak, J.      2129 2495
Ruston, A. F.      2132
Rutman, M. A.      2130 2131
Saffern, W. W.      2080 2090 2095 2129 2224
Sahnovi $\check{c}$ , L. A.      2122 2511
Sait $\hat{o}$ , T.      2128 2129
Salehi, H.      2090
Saphar, P.      2090 2129 2132 2133
Sarason, D.      2122 2128 2129
Sartre, Jean-Paul      2061
Sasser, D. W.      2131
Sawashima, I.      2131
Scalar part of a spectral operator      XV.16 (2101)
Scalar part of a spectral operator, definition of      XV.4.6 (1941)
Scalar part of a spectral operator, properties of the spectrum      XV.8.4 (1956)
Scalar type operator, algebras of      XVII.2.5 (2186) XVII.2.10 XVII.2.12 XVII.2.13 XVII.3.9 XVII.3.18-19 XVII.3.25 XVII.3.26
Scalar type operator, conditions for      XV.11.14 (1983) XV.11.17 XV.16 XV.16 XV.16 XV.16 XVII.5.2 XVII.5.3
Scalar type operator, decomposition into real and imaginary Scalar type operator, parts      XV.15.7 (2075) XV.16
Scalar type operator, definition of      XV.4.1 (1938)
Scalar type operator, polar decomposition of      XV.15.10 (2075)
Scalar type operators in Hilbert space, equivalence to normal operators      XV.6.4 (1947)
Scattering operator, definition of      XX.6 (2499)
Sch $\ddot{a}$ ffer, H. H.      2090 2091 2107 2108 2109 2128 2129 2130 2131 2132 2133 2288
Schaffer, J. J.      2106
Schatten, R.      2132
Schauder, J.      vi
Schechter, M.      2132 2133 2374 2511
Schreiber, M.      2128 2129
Schwartz, J. T.      vii 2089 2090 2091 2122 2127 2131 2132 2225 2371 2493 2494 2495 2501 2506 2511
Schwartz, L.      1990
Scroggs, J. E.      2129
Sebasti $\tilde{a}$ o e Silva, J.      2090
Second order discrete operator, separated boundary conditions for      XIX.3 (2307)
Seeley, R. T.      2133
Segal, I. E.      2226
Semi-groups, infinitesimal generators of      XV.12.8 (2024) XV.12.18 XV.12.19 XV.12.21 XV.12.22 XV.15.70
Sherbert, D. R.      2131
Sheth, I. H.      2128
Shiraishi, R.      2133
Shizuta, Y.      2374 2498
Sibuya, Y.      2132
Sigalov, A. G.      2511
Sikorski, R.      2132
Sills, W. H.      2090 2117 2123
Silverman, R. J.      2132
Simpson, J. E.      2090 2091 2101 2225 2226.2511
Sine, R. C.      2090 2098 2117 2119 2123 2176
Singbal-Vedak, K.      2107
Single valued extension property, definition of      XV.2.6 (1931)
Single valued extension property, for a bounded spectral operator      XV.3.2 (1933)
Single valued extension property, maximal extension      XV.2 (1931-1932)
Slowly increasing functions, definition of      XV.11 (1985)
Smart, D. R.      2090 2098 2117 2122 2123 2374
Smith, K. T.      2129
Smithies, F.      2128 2132
Socrates      2056
Sophocles      2055
Spectral differential operators of second order, properties of the resolvent      XX.1.5 XX.1.6 XX.1.9 XX.1.11
Spectral measure, bounded      XV.2.1 (1929)
Spectral measure, countably additive      XV.2 (1930) XV.2.3 XV.2.4
Spectral measure, definition of      XV.2.1 (1929)
Spectral measure, integral with respect to      XV.2 (1929)
Spectral operator of class ( $\Sigma$ , $\mathfrak{X}^{*}$ ), definition of      XVI.4.1 (2145)
Spectral operator, adjoint of      XVI.4.6 (2148) XVI.5.16
Spectral operator, canonical reduction of      XV.4 (1937) XV.4.5 XVII.5.11
Spectral operator, conditions for      XVI.4.5 (2147) XVI.4.7 XVI.5.3 XVI.5.15 XVI.5.18 XVI.5.19 XVIII.4
Spectral operator, convergence of a generalized sequence      XVII.4.1 (2219) XVII.4.2 XVII.4.3
Spectral operator, decomposition into real and imaginary parts      XV.15.8 (2075)
Spectral operator, definition of      XV.2.5 (1931)
Spectral operator, in Hilbert space      XVI.5.18 (2162) XVI.6.3
Spectral operator, polar decomposition of      XV.15.11 (2075)
Spectral operator, ranges of its scalar and radical parts      XV.7.5 (1951)
Spectral operator, restrictions or quotients of      XV.3.10 (1936) XV.16
Spectral operator, spectral resolution of a restriction      XV.3.10 (1936)
Spectral operator, sum and product of      XV.6.5 (1948)
Spectral operator, vectors annihilated by a      XV.7.8 (1952)
Spectral operators, in $\mathfrak{U}^{2}$ , conditions for      XV.11.18 XV.11.19 XV.11.20
Spectral operators, in $\mathfrak{U}^{2}$ , examples      XV.11.21 (2004) (equations (58))
Spectral operators, in $\mathfrak{U}^{2}$ , nilpotent part of      XV.11 (2005)
Spectral operators, in $\mathfrak{U}^{p}$ , condition for      XV.10.6 (1977)
Spectral operators, in $\mathfrak{U}^{p}$ , examples of      XV.11 (1983)
Spectral operators, in $\mathfrak{U}^{p}$ , operational calculus for      XV.10.11 (1980)
Spectral operators, in $\mathfrak{U}^{p}$ , resolutions of the identity for      XV.10.6 (1977) XV.10.3
Spectral operators, in $\mathfrak{U}^{p}$ , scalar and radical parts of      XV.10.9 (1979)
Spectral operators, in locally convex spaces      XV.16 (2091)
Spectral operators, of class ( $\Gamma$ ), definition and examples of      XVI.7.6-9 (2172)
Spectral operators, with continuous spectra      XX (2375)
Spectral operators, with continuous spectra, examples of      XX.1.12 (2396) XX.1.14(2399)
Spectral resolution, definition of      XV.2.2 (1930)
Spectral set for an operator      XV.2 (1930)

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