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Page 3
We presuppose a familiarity with the real and complex number systems. By the
extended real number system we mean the real numbers with the symbols +oo
and — oo adjoined; by the extended complex number system we mean the ...
We presuppose a familiarity with the real and complex number systems. By the
extended real number system we mean the real numbers with the symbols +oo
and — oo adjoined; by the extended complex number system we mean the ...
Page 238
During the course of the investigation a number of interesting special properties
of the spaces to be considered and ... With the one exception of Hilbert space,
each of them will consist of real or complex valued functions /, g defined on a ...
During the course of the investigation a number of interesting special properties
of the spaces to be considered and ... With the one exception of Hilbert space,
each of them will consist of real or complex valued functions /, g defined on a ...
Page 556
Spectra] Theory in a Finite Dimensional Space Throughout this section, X will
denote a finite dimensional complex ... The spectrum a(T) of an operator T in a
finite dimensional fi-space is the set of complex numbers A such that A/ — T is not
...
Spectra] Theory in a Finite Dimensional Space Throughout this section, X will
denote a finite dimensional complex ... The spectrum a(T) of an operator T in a
finite dimensional fi-space is the set of complex numbers A such that A/ — T is not
...
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries 84 | 34 |
Copyright | |
44 other sections not shown
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Common terms and phrases
Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers contains continuous functions convex set Corollary countably additive Definition denote dense differential equations Doklady Akad Duke Math element equivalent exists finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral interval isometric isomorphism Lemma linear map linear operator linear topological space LP(S measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space null set open set operator topology positive measure space Proc properties proved real numbers reflexive Riesz Russian scalar semi-group sequentially compact Show simple functions subset subspace Suppose theory TM(S topological space Trans valued function Vber vector space weak topology weakly compact weakly sequentially compact zero