Linear Operators: General theory |
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Results 1-3 of 69
Page 237
Each of these spaces is studied in an attempt to solve the eight problems listed
below . The results of these studies are presented in tabular form in Section 14 . 1
Problem . What is an analytical representation of the conjugate space X * of the ...
Each of these spaces is studied in an attempt to solve the eight problems listed
below . The results of these studies are presented in tabular form in Section 14 . 1
Problem . What is an analytical representation of the conjugate space X * of the ...
Page 613
A corresponding problem is to determine the most general continuous operator
valued functions defined on the range t 20 , which satisfy the equations ( i ) T ( t +
u ) = T ( t ) T ( u ) , T ( 0 ) = 1 , t , u 20 . An operator valued function T ( t ) satisfying
...
A corresponding problem is to determine the most general continuous operator
valued functions defined on the range t 20 , which satisfy the equations ( i ) T ( t +
u ) = T ( t ) T ( u ) , T ( 0 ) = 1 , t , u 20 . An operator valued function T ( t ) satisfying
...
Page 777
Sur une généralisation du théorème de Plancherel au cas des intégrales de
Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (
N . S . ) 30 , 484 - 488 ( 1941 ) . Infinite J - matrices and a matrix moment problem
.
Sur une généralisation du théorème de Plancherel au cas des intégrales de
Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (
N . S . ) 30 , 484 - 488 ( 1941 ) . Infinite J - matrices and a matrix moment problem
.
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
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algebra Amer analytic applied arbitrary assumed B-space Banach spaces bounded called clear closed compact operator complex condition Consequently constant contains continuous functions converges convex convex set Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math neighborhood norm operator operator topology problem projection PROOF properties proved range reflexive representation respect satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero