Linear Operators, Part 2 |
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Page 884
The study of ideal theory in B - algebra was inaugurated by Gelfand [ 1 ] to whom most of the results given in Section 1 are due . B- and B * -algebras . The results of Section 2 are due to Gelfand [ 1 ] . The fundamental Theorem 3.7 ...
The study of ideal theory in B - algebra was inaugurated by Gelfand [ 1 ] to whom most of the results given in Section 1 are due . B- and B * -algebras . The results of Section 2 are due to Gelfand [ 1 ] . The fundamental Theorem 3.7 ...
Page 909
The proof follows immediately , for since LSM , we have ( Lx , x ) < ( Mx , x ) for every x in H. Hence the characterization of In , Mn given in Theorem 3 shows that an Ellion for all n = 1 , 2 , .... - 5. Spectral Representation Let M ...
The proof follows immediately , for since LSM , we have ( Lx , x ) < ( Mx , x ) for every x in H. Hence the characterization of In , Mn given in Theorem 3 shows that an Ellion for all n = 1 , 2 , .... - 5. Spectral Representation Let M ...
Page 1273
The simplification , given by Freudenthal [ 3 ] , of Friedrichs ' proof is the one presented in the text . For another proof of the theorem , see Calkin 3 ] and Eberlein ( 2 ; p . 699 ) , and for applications to partial differential ...
The simplification , given by Freudenthal [ 3 ] , of Friedrichs ' proof is the one presented in the text . For another proof of the theorem , see Calkin 3 ] and Eberlein ( 2 ; p . 699 ) , and for applications to partial differential ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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