Linear Operators: General theory |
From inside the book
Results 1-3 of 77
Page 462
... Banach [ 1 ; pp . 58 , 134 ] . Mazur [ 1 ; p . 80 ] showed that a strongly closed convex set in a normed linear space contains all the weak limits of sequences in the set . His proof requires only minor changes to yield Theorem 3.13 .
... Banach [ 1 ; pp . 58 , 134 ] . Mazur [ 1 ; p . 80 ] showed that a strongly closed convex set in a normed linear space contains all the weak limits of sequences in the set . His proof requires only minor changes to yield Theorem 3.13 .
Page 810
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471-473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471-473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
Page 815
... Banach spaces . Proc . Nat . Acad . Sci . U.S.A. 25 , 438-440 ( 1939 ) . On certain Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space H. Duke Math . J. 17 ...
... Banach spaces . Proc . Nat . Acad . Sci . U.S.A. 25 , 438-440 ( 1939 ) . On certain Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space H. Duke Math . J. 17 ...
Contents
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
40 other sections not shown
Other editions - View all
Common terms and phrases
A₁ additive set function algebra Amer analytic arbitrary B-space ba(S Banach Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense differential disjoint Doklady Akad E₁ element equation exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism L₁ L₁(S Lebesgue Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ