Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 2286
For each bounded Borel function g on the plane let Š ( g ) denote the closure of AS ( 9 ) A - 1 . The correspondence 7 : S ( g ) + Š ( 9 ) preserves the operational calculus and - = . 1Ē ( da ) , S O ( Q ) where + E ( e ) = E ( e ) ...
For each bounded Borel function g on the plane let Š ( g ) denote the closure of AS ( 9 ) A - 1 . The correspondence 7 : S ( g ) + Š ( 9 ) preserves the operational calculus and - = . 1Ē ( da ) , S O ( Q ) where + E ( e ) = E ( e ) ...
Page 2320
Throughout this section , Bi , i = 1 , ... , n , will denote a set of n linearly independent boundary values for 7. Thus , by Corollary XIII.2.23 , there exist two n x n matrices such that and Bu dij n - 1 n - 1 ( 1 ) ΒΙ.f ) = Σ αμf ( 0 ) ...
Throughout this section , Bi , i = 1 , ... , n , will denote a set of n linearly independent boundary values for 7. Thus , by Corollary XIII.2.23 , there exist two n x n matrices such that and Bu dij n - 1 n - 1 ( 1 ) ΒΙ.f ) = Σ αμf ( 0 ) ...
Page 2436
Next , let C ( EM ) denote the set of all infinitely often differentiable complex valued functions defined in En and vanishing outside a bounded set , let ge C.
Next , let C ( EM ) denote the set of all infinitely often differentiable complex valued functions defined in En and vanishing outside a bounded set , let ge C.
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
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