Linear Operators, Part 2 |
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Page 1188
Q.E.D. а The Hilbert space adjoint T * of a bounded operator T in Hilbert space has been defined by the identity ( Tx ... of an operator which is not necessarily bounded and this concept is formulated in the following definition .
Q.E.D. а The Hilbert space adjoint T * of a bounded operator T in Hilbert space has been defined by the identity ( Tx ... of an operator which is not necessarily bounded and this concept is formulated in the following definition .
Page 1196
bounded Borel functions into an algebra of normal operators in Hilbert space and thus the above formula defines an ... the self adjoint operator T and let f be a complex Borel function defined E - almost everywhere on the real axis .
bounded Borel functions into an algebra of normal operators in Hilbert space and thus the above formula defines an ... the self adjoint operator T and let f be a complex Borel function defined E - almost everywhere on the real axis .
Page 1548
7 = 1 2 - τ extensions of S and Ŝ respectively , and let 2n ( T ) and 2n ( Îy ) be the numbers defined for the self ... and let T , be a self adjoint operator in Hilbert space Hz . Define the operator T in H = H , H2 by setting D ( T ) ...
7 = 1 2 - τ extensions of S and Ŝ respectively , and let 2n ( T ) and 2n ( Îy ) be the numbers defined for the self ... and let T , be a self adjoint operator in Hilbert space Hz . Define the operator T in H = H , H2 by setting D ( T ) ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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