## Linear Operators: Spectral theory |

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Results 1-3 of 81

Page 884

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

most of the

Lemma 3.5 by using a fairly deep

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 ... In their proof, they provedLemma 3.5 by using a fairly deep

**result**of Šilov that was not generally available.Page 1419

... minimum f(m, 11) between seri and stra, a single maximum f(m, 12) between

stra and sers, etc. We will show that |f(m,) = f(mori) = f(m, s) ~ ..., which will clearly

establish the desired

...

... minimum f(m, 11) between seri and stra, a single maximum f(m, 12) between

stra and sers, etc. We will show that |f(m,) = f(mori) = f(m, s) ~ ..., which will clearly

establish the desired

**result**. On the interval [s, 11, mail, consider the two functions...

Page 1591

A

skii and Milman [1]. Theorem 11 was obtained by Weyl for operators of the

second order, and extended by Glazman [1]. The trick used in Theorem 14 has

been ...

A

**result**similar to Lemma 8 can be found in the joint paper of Krein, Krasnosel'skii and Milman [1]. Theorem 11 was obtained by Weyl for operators of the

second order, and extended by Glazman [1]. The trick used in Theorem 14 has

been ...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero