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Page 804
Elements of mathematical logic . Dover Publications , New York , 1950 . 2 . Perturbations of linear operators in Banach spaces . ... Critical points and gradient fields of scalars in Hilbert space . Acta Math . 85 , 73-98 ( 1951 ) . 4 .
Elements of mathematical logic . Dover Publications , New York , 1950 . 2 . Perturbations of linear operators in Banach spaces . ... Critical points and gradient fields of scalars in Hilbert space . Acta Math . 85 , 73-98 ( 1951 ) . 4 .
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Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskiï , M. G. 1. On estimates for the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat .
Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskiï , M. G. 1. On estimates for the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat .
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On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 ... On the compactness of the space Lj . Bull . Amer . Math . Soc . ... On certain Banach spaces whose elements are analytic functions . Actas Acad . Ci .
On linear equations in Hilbert space . Mat . Sbornik N. S. 29 ( 71 ) , 529-550 ... On the compactness of the space Lj . Bull . Amer . Math . Soc . ... On certain Banach spaces whose elements are analytic functions . Actas Acad . Ci .
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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