Linear Operators: General theory |
From inside the book
Results 1-3 of 70
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 ...
... 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 ...
Page 802
... Banach algebras with an adjoint operation . Ann . of Math . ( 2 ) 47 , 528-550 ( 1946 ) . 7 . 8 . 9 . 10 . The uniqueness of norm problem in Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain ...
... Banach algebras with an adjoint operation . Ann . of Math . ( 2 ) 47 , 528-550 ( 1946 ) . 7 . 8 . 9 . 10 . The uniqueness of norm problem in Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain ...
Page 804
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . 7. Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195–218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . 7. Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195–218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
A₁ Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear functional linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz Russian 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