## Linear Operators: Spectral theory |

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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

Section 2 are due to Gelfand [1]. The fundamental Theorem 3.7 was proved by ...

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 ofSection 2 are due to Gelfand [1]. The fundamental Theorem 3.7 was proved by ...

Page 1273

The simplification,

presented in the text. For another proof of the theorem, see Calkin [3] and

Eberlein [2; p. 699], and for applications to partial differential equations, consult

Friedrichs [3].

The simplification,

**given**by Freudenthal [8], of Friedrichs' proof is the onepresented in the text. For another proof of the theorem, see Calkin [3] and

Eberlein [2; p. 699], and for applications to partial differential equations, consult

Friedrichs [3].

Page 1591

The defining property used by them coincides with the property we have

Theorem 4. The development followed in this section and the next, which makes

extensive use of Definition 1, has also been used by Snol [1] and Naimark [5].

The defining property used by them coincides with the property we have

**given**inTheorem 4. The development followed in this section and the next, which makes

extensive use of Definition 1, has also been used by Snol [1] and Naimark [5].

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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