Linear Operators: General theory |
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Page v
Physier Library QA 251 Dale Vol Preface In the two parts of Linear Operators we
endeavor to give a com. prehensive survey of the general theory of linear
operations , together with a survey of the application of this general theory to the
...
Physier Library QA 251 Dale Vol Preface In the two parts of Linear Operators we
endeavor to give a com. prehensive survey of the general theory of linear
operations , together with a survey of the application of this general theory to the
...
Page vi
theory of spaces and operators , and all material pertaining to the spectral theory
of arbitrary operators into the first part ; all material relating to the theory of
completely reducible operators into the second part . Of course , we have
occasionally ...
theory of spaces and operators , and all material pertaining to the spectral theory
of arbitrary operators into the first part ; all material relating to the theory of
completely reducible operators into the second part . Of course , we have
occasionally ...
Page viii
close to Chapter XIII , and also discusses some points of the theory given in
Chapter XIX . Surveying in ' netrospect the theories presented in the following
twenty chapters , it seems to the authors that the general theory of the first seven
...
close to Chapter XIII , and also discusses some points of the theory given in
Chapter XIX . Surveying in ' netrospect the theories presented in the following
twenty chapters , it seems to the authors that the general theory of the first seven
...
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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