Treves F. — Topological Vector Spaces, Distributions And Kernels :: Электронная библиотека попечительского совета мехмата МГУ

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Treves F. — Topological Vector Spaces, Distributions And Kernels

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Название: Topological Vector Spaces, Distributions And Kernels

Автор: Treves F.

Аннотация:

This text for upper-level undergraduates and graduate students
focuses on key notions and results in functional analysis. Extending
beyond the boundaries of Hilbert and Banach space theory, it explores
aspects of analysis relevant to the solution of partial differential
equations.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 565

Добавлена в каталог: 19.09.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Restriction of distributions, of functions      245 246
Runge domain      152
Salient cone      193
Scalarly differentiable      377
Scalarly measurable      471
Schwarz (also, Cauchy — Schwarz) inequality      114
Self-adjoint      121 488
Semiglobally solvable      392
Seminorms      59
Seminorms, defining topology      63
Semireflexive space      372
Semiregular kernel      532
Separable spaces      111 125 550
Separated      189
Separately continuous      352 420
Sequence of definition of LF-space      126
Sequences      101
Sequentially complete      38 74
Sesquilinear form      60 112
Slowly growing (also, increasing) function      275
Slowly growing sequence      527
Smoothing      302
Sobolev space      322
Souslin space      551
Space of distributions      244
Spectral decomposition      492
Sterling's formula      234
Strict inductive limit      126
Strictly separated      189
Strong (also, strong dual) topology      198
Stronger than      95
Subadditive      59
Subordinated (partition of unity subordinated to covering)      164
Summable sequence      456
Supplementary, algebraic      36
Supplementary, topological      36 543
Support of distribution      255
Support of function      104
Surjective      17
Swallow (to)      21 136
Symmetry with respect to origin      291
Temperate, tempered      272

Tensor product of distributions      417
Tensor product of functions      407
Tensor product of mappings      406
Tensor product of seminorms      398 435
Tensor product of vector spaces      403
Test functions      130 132
Topological direct sum      36 84
Topological ring      27
Topological space      6
Topological vector space (also, TVS)      20
topology      8
Topology of bounded convergence      198 337
Topology of compact convergence      198 337
Topology of convex compact convergence      197 337
Topology of pointwise convergence      29 337
Topology of uniform convergence      98
Topology of uniform convergence on compact sets      86
total      337
Trace form      485
Trace norm      479
Trace of filter      39
Trace of operator      491
Translation of distribution, of function      296
Translation-invariant metric      70
Transpose of linear map      199 240
Triangular inequality      61 70
Trivial topology      9
Two-sided fundamental kernel      537
Tychonoff's theorem      56 342
Ultrafilter      54
Uniform boundedness (principle of)      335
Uniformly continuous      39
Unit semiball      61
Universal property (of tensor product)      404
Upper integral      99
Value at point      200 361
Vanishing of distribution      253
Vector addition      14
Vector space      14
Very regular kernel      536
Weak dual, weak topology      197
Weakly continuous      454
Weierstrass — Bolzano theorem      51

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