Linear Operators: General theory |
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Page 156
... v ( u , A A E ) = 0 , where A A E is the symmetric difference ( A U E ) - AE of A
and E . The fact that is an equivalence relation follows readily from the fact that
the symmetric difference is a commutative and associative operation with A A A =
$ .
... v ( u , A A E ) = 0 , where A A E is the symmetric difference ( A U E ) - AE of A
and E . The fact that is an equivalence relation follows readily from the fact that
the symmetric difference is a commutative and associative operation with A A A =
$ .
Page 743
Calkin , J . W . 1 . Abstract symmetric boundary conditions . Trans . Amer . Math .
Soc . 45 , 369 - 442 ( 1939 ) . 2 . Two sided ideals and congruences in the ring of
bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839 - 873 ( 1941 ) .
Calkin , J . W . 1 . Abstract symmetric boundary conditions . Trans . Amer . Math .
Soc . 45 , 369 - 442 ( 1939 ) . 2 . Two sided ideals and congruences in the ring of
bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839 - 873 ( 1941 ) .
Page 813
The expansion problems associated with regular differential systems of the
second order . Trans . Amer . Math . Soc . 29 , 826 - 844 ( 1927 ) . Štraus , A . V . 1
. On the theory of the generalized resolvent of a symmetric operator . Doklady
Akad .
The expansion problems associated with regular differential systems of the
second order . Trans . Amer . Math . Soc . 29 , 826 - 844 ( 1927 ) . Štraus , A . V . 1
. On the theory of the generalized resolvent of a symmetric operator . Doklady
Akad .
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Contents
Metric Spaces | 19 |
Convergence and Uniform Convergence of Generalized | 26 |
Exercises | 33 |
Copyright | |
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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad domain elements equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math mean measure space metric space neighborhood norm operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero
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Bibliographic information
| Title | Linear Operators: General theory Part 1 of Linear Operators, Jacob T. Schwartz Volume 1; 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 |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of Michigan |
| Digitized | 20 Nov 2007 |
| ISBN | 0470226056, 9780470226056 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |