Linear Operators: General theory |
From inside the book
Results 1-3 of 71
Page 494
From IV. 10.2 we conclude that T* maps the unit sphere of 36* into a conditionally
weakly compact set of rca(S), and therefore T* is a weakly compact operator. By
Theorem 4.8 this implies that T is a weakly compact operator. Q.E.D. 4 Theorem.
From IV. 10.2 we conclude that T* maps the unit sphere of 36* into a conditionally
weakly compact set of rca(S), and therefore T* is a weakly compact operator. By
Theorem 4.8 this implies that T is a weakly compact operator. Q.E.D. 4 Theorem.
Page 539
operator and its importance was clearly recognized by E. 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 ...
operator and its importance was clearly recognized by E. 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 ...
Page 577
Spectral Theory of Compact Operators It has been observed in some of the
exercises in Section VI. 9 that a number of linear operators of importance in
analysis either are compact, or have compact squares. The structure of the
spectrum of ...
Spectral Theory of Compact Operators It has been observed in some of the
exercises in Section VI. 9 that a number of linear operators of importance in
analysis either are compact, or have compact squares. The structure of the
spectrum of ...
What people are saying - Write a review
User Review - Flag as inappropriate
i want to read
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
79 other sections not shown
Other editions - View all
Common terms and phrases
a-field Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact operator complex numbers complex valued contains continuous functions continuous linear convex set Corollary countably additive Definition denote dense differential equations disjoint sets Doklady Akad Duke Math element equivalent everywhere exists extended real valued extension finite dimensional finite number function f Hausdorff space Hence Hilbert space homeomorphism inequality interval Lebesgue measure lim sup linear functional 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 Proof properties proved real numbers Riesz Russian semi-group sequentially compact Show simple functions subset subspace Suppose theory topological space Trans uniformly unique v(fi valued function Vber vector valued weakly compact
Bibliographic information
| Title | Linear Operators: General theory Volume 7 of Pure and applied mathematics Volume 1 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure and applied mathematics Interscience Press |
| Authors | Nelson Dunford, Jacob T. Schwartz |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of Michigan |
| Digitized | 20 Nov 2007 |
| Length | 2592 pages |
| Subjects | › › Mathematics / Algebra / Linear Mathematics / Calculus |
| Export Citation | BiBTeX EndNote RefMan |