## Linear Operators, Part 2 |

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The study of ideal theory in B - algebra was inaugurated by Gelfand [ 1 ] to whom most of the results

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 L ŞM , we have ( Lx , x ) = ( Mx , x ) for every x in H. Hence the characterization of an , Min

The proof follows immediately , for since L ŞM , we have ( Lx , x ) = ( Mx , x ) for every x in H. Hence the characterization of an , Min

**given**in Theorem 3 shows that an SMn for all n = 1 , 2 , · 5. Spectral Representation Let и M be a ...Page 1273

The simplification ,

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 ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

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