Linear Operators, Part 2 |
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Page 860
X . A B - algebra X is commutative in case xy yx for all x and y in X. An involution in a B - algebra X is a ... with the exception of Ll ( -00 , 0 ) and the class of analytic functions , are commutative B - algebras with involutions .
X . A B - algebra X is commutative in case xy yx for all x and y in X. An involution in a B - algebra X is a ... with the exception of Ll ( -00 , 0 ) and the class of analytic functions , are commutative B - algebras with involutions .
Page 875
The algebra B ( ) of all bounded linear operators in Hilbert space v in which the operation * of involution is defined by equation ( i ) is a B ... Our chief objective in this section is to characterize commutative B * -algebras .
The algebra B ( ) of all bounded linear operators in Hilbert space v in which the operation * of involution is defined by equation ( i ) is a B ... Our chief objective in this section is to characterize commutative B * -algebras .
Page 979
be based upon two closely related commutative algebras of operators in the Hilbert space L2 ( R ) . One of these algebras , namely the algebra A of the preceding section , we have met before . For convenience , its definition and some ...
be based upon two closely related commutative algebras of operators in the Hilbert space L2 ( R ) . One of these algebras , namely the algebra A of the preceding section , we have met before . For convenience , its definition and some ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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