Linear Operators: General theory |
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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 ...
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 ...
Page 613
A corresponding problem is to determine the most general continuous operator valued functions defined on the range t < 0 , which satisfy the equations ( i ) T ( t + u ) = T ( t ) T ( u ) , T ( 0 ) = 1 , t , u 20 .
A corresponding problem is to determine the most general continuous operator valued functions defined on the range t < 0 , which satisfy the equations ( i ) T ( t + u ) = T ( t ) T ( u ) , T ( 0 ) = 1 , t , u 20 .
Page 777
Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . 8. On the trace formula in perturbation theory . Mat .
Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . 8. On the trace formula in perturbation theory . Mat .
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
quences | 26 |
Copyright | |
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Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math mean measure space metric space neighborhood norm o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero