## Linear Operators: Spectral theory |

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Results 1-3 of 56

Page 1591

A version of Lemma 7 is due to Glazman [1, 2]. 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

Glazman ...

A version of Lemma 7 is due to Glazman [1, 2]. 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 byGlazman ...

Page 1834

On the detection of the oscillation of a

Duke Math. J. 17, 57–62 (1950). 4. On self-adjoint differential equations of

...

On the detection of the oscillation of a

**second order**linear differential equation.Duke Math. J. 17, 57–62 (1950). 4. On self-adjoint differential equations of

**second order**. J. London Math. Soc. 27, 33–47 (1952). Leja, F. 1. Sur la motion du...

Page 1848

On the spectrum of singular non-self-adjoint differential operators of the

14, 473 (1953). 10. Investigation of the spectrum and expansion in

eigenfunctions ...

On the spectrum of singular non-self-adjoint differential operators of the

**second****order**. Doklady Akad. Nauk SSSR (N.S.)85,41–44 (1952). (Russian) Math. Rev.14, 473 (1953). 10. Investigation of the spectrum and expansion in

eigenfunctions ...

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

additive Akad algebra Amer analytic applied assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete 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 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