Linear Operators: Spectral theory |
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Page 1188
4 ) that ( 11 – T ) - 1 is bounded since it is everywhere defined . An examination of
the proof of Lemma VII . 3 . 2 where the facts that p ( T ) is open and that R ( 2 ; T )
is analytic are proved for bounded operators will make it clear that these same ...
4 ) that ( 11 – T ) - 1 is bounded since it is everywhere defined . An examination of
the proof of Lemma VII . 3 . 2 where the facts that p ( T ) is open and that R ( 2 ; T )
is analytic are proved for bounded operators will make it clear that these same ...
Page 1196
bounded Borel functions into an algebra of normal operators in Hilbert space and
thus the above formula defines an ... Let E be the resolution of the identity for the
self adjoint operator T and let | be a complex Borel function defined E - almost ...
bounded Borel functions into an algebra of normal operators in Hilbert space and
thus the above formula defines an ... Let E be the resolution of the identity for the
self adjoint operator T and let | be a complex Borel function defined E - almost ...
Page 1548
extensions of S and Ŝ respectively , and let ( T ) and 2n ( Î ) be the numbers
defined for the self adjoint operators T and Î ... a self adjoint operator in Hilbert
space Hi , and let T , be a self adjoint operator in Hilbert space Hz . Define the
operator ...
extensions of S and Ŝ respectively , and let ( T ) and 2n ( Î ) be the numbers
defined for the self adjoint operators T and Î ... a self adjoint operator in Hilbert
space Hi , and let T , be a self adjoint operator in Hilbert space Hz . Define the
operator ...
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
15 other sections not shown
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