On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil

A. S. Markus; V. I. Matsaev

doi:10.1070/SM1988v061n02ABEH003208

On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil

A. S. Markus, V. I. Matsaev

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Let be a quadratic pencil, where and are compact selfadjoint operators on a separable Hilbert space. Two subsystems of eigenvectors and associated vectors are constructed for the pencil, each of them forming a Riesz basis for.

Original language	English
Pages (from-to)	289-307
Number of pages	19
Journal	Mathematics of the USSR - Sbornik
Volume	61
Issue number	2
DOIs	https://doi.org/10.1070/SM1988v061n02ABEH003208
State	Published - 28 Feb 1988
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil",

abstract = "Let be a quadratic pencil, where and are compact selfadjoint operators on a separable Hilbert space. Two subsystems of eigenvectors and associated vectors are constructed for the pencil, each of them forming a Riesz basis for.",

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AU - Matsaev, V. I.

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N2 - Let be a quadratic pencil, where and are compact selfadjoint operators on a separable Hilbert space. Two subsystems of eigenvectors and associated vectors are constructed for the pencil, each of them forming a Riesz basis for.

AB - Let be a quadratic pencil, where and are compact selfadjoint operators on a separable Hilbert space. Two subsystems of eigenvectors and associated vectors are constructed for the pencil, each of them forming a Riesz basis for.

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M3 - Article

AN - SCOPUS:0011658720

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On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil

Abstract

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