Linear Operators: General theory |
From inside the book
Results 1-3 of 88
Page 387
A detailed proof was given by Fréchet [ 5 ; III . p . 441 ] . The theorem for L [ 0 , 1 ] ,
1 < p < 0o , was demonstrated by F . Riesz [ 2 ; p . 475 ] . In the case of a finite
measure space the theorem was established by Nikodým [ 9 ; p . 132 ] and later
by ...
A detailed proof was given by Fréchet [ 5 ; III . p . 441 ] . The theorem for L [ 0 , 1 ] ,
1 < p < 0o , was demonstrated by F . Riesz [ 2 ; p . 475 ] . In the case of a finite
measure space the theorem was established by Nikodým [ 9 ; p . 132 ] and later
by ...
Page 392
tion with respect to a vector valued measure which is presented here is the one
given in Bartle , Dunford and Schwartz [ 1 ] . A similar procedure has been
employed by Bartle [ 3 ] to obtain a Lebesgue - type integration theory where both
...
tion with respect to a vector valued measure which is presented here is the one
given in Bartle , Dunford and Schwartz [ 1 ] . A similar procedure has been
employed by Bartle [ 3 ] to obtain a Lebesgue - type integration theory where both
...
Page 729
proofs , valid in uniformly convex spaces , were given by G . Birkhoff [ 7 ] and F .
Riesz [ 16 , 18 ] . Another proof , based on the interesting fact that a fixed point for
a contraction in Hilbert space is also a fixed point for its adjoint , was given by ...
proofs , valid in uniformly convex spaces , were given by G . Birkhoff [ 7 ] and F .
Riesz [ 16 , 18 ] . Another proof , based on the interesting fact that a fixed point for
a contraction in Hilbert space is also a fixed point for its adjoint , was given by ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
algebra Amer analytic applied arbitrary assumed B-space Banach spaces bounded called clear closed compact operator complex condition Consequently constant contains continuous functions converges convex convex set Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math neighborhood norm operator operator topology problem projection PROOF properties proved range reflexive representation respect satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero
Bibliographic information
| Title | Linear Operators: General theory Part 1 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure and applied mathematics Interscience Press Pure and applied mathematics Wiley classics library |
| Authors | Nelson Dunford, Jacob T. Schwartz |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of California |
| Digitized | 16 Mar 2011 |
| ISBN | 0470226056, 9780470226056 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |