Linear Operators: General theory |
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Page 100
Any statement concerning the points of S is said to hold u - almost everywhere , or , if u is understood , simply almost everywhere , or for almost all s in S , if it is true except for those points ...
Any statement concerning the points of S is said to hold u - almost everywhere , or , if u is understood , simply almost everywhere , or for almost all s in S , if it is true except for those points ...
Page 151
Since L ( S , ! , , X ) is complete , there m , 100 m , 12exists a g € L , such that lim \ in - 0. Then by Theorem 3.6 and 1-00 ( orollary 13 ( a ) , a subsequence of In } converges to g almost everywhere .
Since L ( S , ! , , X ) is complete , there m , 100 m , 12exists a g € L , such that lim \ in - 0. Then by Theorem 3.6 and 1-00 ( orollary 13 ( a ) , a subsequence of In } converges to g almost everywhere .
Page 676
For such a vector h we have A ( T , n ) h = f + ( I – T " ) g / n , and thus , for almost all s in S , we have | AT , n ) ( h , s ) - | ( s ) = 2glon → 0 . This shows that AT , nbh converges almost everywhere for every h ...
For such a vector h we have A ( T , n ) h = f + ( I – T " ) g / n , and thus , for almost all s in S , we have | AT , n ) ( h , s ) - | ( s ) = 2glon → 0 . This shows that AT , nbh converges almost everywhere for every h ...
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Contents
Preliminary Concepts | 1 |
The VitaliHahnSaks Theorem and Spaces of Measures | 7 |
B Topological Preliminaries | 10 |
Copyright | |
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Bibliographic information
| Title | Linear Operators: General theory Part 1 of Linear Operators, Jacob T. Schwartz Volume 1 of Linear Operators: General Theory. Spectral Theory, Self Adjoint Operators in Hilbert Space. Spectral Operators. I. II. III, William George Bade Volume 7 of Pure & Applied Mathematics : a Wiley-interscience series of texts, monographs & tracts Volume 7 of Pure and applied mathematics : a series of texts and monographs Volume 7 of Pure and applied mathematics Interscience Press Pure and applied mathematics, ISSN 0079-8185 Wiley classics library |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | William G. Bade, Robert G. Bartle |
| Contributor | Karreman Mathematics Research Collection |
| Edition | reprint |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of California |
| Digitized | 26 Jun 2018 |
| ISBN | 0470226056, 9780470226056 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |