Linear Operators: General theory |
From inside the book
Results 1-3 of 3
Page 538
... Hilbert space were introduced and employed systematically by von Neumann [ 2 ] ... operator topology , and was introduced by von Neumann [ 5 ] . The question of finding the form of the ... Schmidt 538 VI.11.48 VI . OPERATORS AND THEIR ADJOINTS.
... Hilbert space were introduced and employed systematically by von Neumann [ 2 ] ... operator topology , and was introduced by von Neumann [ 5 ] . The question of finding the form of the ... Schmidt 538 VI.11.48 VI . OPERATORS AND THEIR ADJOINTS.
Page 539
... Schmidt [ 1 ] , to whom the geometrical terminology in linear space theory is due . Compact and weakly compact operators . The concept of a compact ( or completely continuous ) operator is essentially due to Hilbert ... operator to map weakly ...
... Schmidt [ 1 ] , to whom the geometrical terminology in linear space theory is due . Compact and weakly compact operators . The concept of a compact ( or completely continuous ) operator is essentially due to Hilbert ... operator to map weakly ...
Page 609
... Schmidt [ 2 ] depending on the possibility ( in Hilbert space ) of approximating the compact operator by operators with finite dimensional ranges . Probably the most ingenious and elementary approach is due to F. Riesz [ 4 ] and is ...
... Schmidt [ 2 ] depending on the possibility ( in Hilbert space ) of approximating the compact operator by operators with finite dimensional ranges . Probably the most ingenious and elementary approach is due to F. Riesz [ 4 ] and is ...
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 B₁ ba(S Banach spaces Borel sets Cauchy sequence compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ