Self-adjoint polynomial operator pencils, spectrally equivalent to self-adjoint operators

B. M. Podlevskii

doi:10.1007/bf01086780

Self-adjoint polynomial operator pencils, spectrally equivalent to self-adjoint operators

Ukrainian Mathematical Journal ◽

10.1007/bf01086780 ◽

1985 ◽

Vol 36 (5) ◽

pp. 498-500

Author(s):

B. M. Podlevskii

Keyword(s):

Polynomial Operator ◽

Adjoint Operators ◽

Adjoint Polynomial ◽

Operator Pencils

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Trace formula for polynomial operator pencils and its applications

Functional Analysis and Its Applications ◽

10.1007/bf01080092 ◽

1992 ◽

Vol 25 (4) ◽

pp. 306-308 ◽

Cited By ~ 1

Author(s):

K. Kh. Boimatov ◽

A. G. Kostyuchenko

Keyword(s):

Trace Formula ◽

Polynomial Operator ◽

Operator Pencils

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Introduction to the Spectral Theory of Polynomial Operator Pencils

10.1090/mmono/071 ◽

2012 ◽

Cited By ~ 4

Author(s):

A. Markus

Keyword(s):

Spectral Theory ◽

Polynomial Operator ◽

Operator Pencils

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Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis

Functional Analysis and Its Applications ◽

10.1007/bf01083147 ◽

1983 ◽

Vol 17 (2) ◽

pp. 151-153 ◽

Cited By ~ 4

Author(s):

S. S. Mirzoev

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Polynomial Operator ◽

Multiple Completeness ◽

Operator Pencils

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The linear factorization of polynomial operator pencils

Mathematical Notes ◽

10.1007/bf01146569 ◽

1973 ◽

Vol 13 (4) ◽

pp. 333-338 ◽

Cited By ~ 2

Author(s):

G. A. Isaev

Keyword(s):

Polynomial Operator ◽

Linear Factorization ◽

Operator Pencils

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Book Review: Introduction to the spectral theory of polynomial operator pencils

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1989-15858-8 ◽

1989 ◽

Vol 21 (2) ◽

pp. 350-355

Author(s):

I. Gohberg ◽

M. A. Kaashoek

Keyword(s):

Spectral Theory ◽

Polynomial Operator ◽

Operator Pencils

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Equivalence of the derived chains corresponding to a boundary-value problem on a finite interval, for polynomial operator pencils

Ukrainian Mathematical Journal ◽

10.1007/bf01066367 ◽

1990 ◽

Vol 42 (1) ◽

pp. 75-84 ◽

Cited By ~ 2

Author(s):

G. V. Radzievskii

Keyword(s):

Boundary Value Problem ◽

Finite Interval ◽

Boundary Value ◽

Polynomial Operator ◽

Operator Pencils

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Some gradient methods in the eigenvalue problem for polynomial operator bundles consisting of self-adjoint operators

Journal of Soviet Mathematics ◽

10.1007/bf01098841 ◽

1993 ◽

Vol 64 (5) ◽

pp. 1164-1167

Author(s):

B. M. Podlevskii

Keyword(s):

Eigenvalue Problem ◽

Gradient Methods ◽

Polynomial Operator ◽

Adjoint Operators

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Some problems in the theory of polynomial operator pencils

Russian Mathematical Surveys ◽

10.1070/rm1983v038n03abeh003492 ◽

1983 ◽

Vol 38 (3) ◽

pp. 151-152 ◽

Cited By ~ 3

Author(s):

A A Shkalikov

Keyword(s):

Polynomial Operator ◽

Operator Pencils

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On positive spectra of one class of polynomial operator pencils

Integral Equations and Operator Theory ◽

10.1007/bf01203668 ◽

1994 ◽

Vol 19 (3) ◽

pp. 314-326 ◽

Cited By ~ 9

Author(s):

Vjacheslav Pivovarchik

Keyword(s):

Polynomial Operator ◽

Operator Pencils

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Sums of characteristic values of compact polynomial operator pencils

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.05.043 ◽

2008 ◽

Vol 338 (2) ◽

pp. 1469-1476 ◽

Cited By ~ 3

Author(s):

M.I. Gil'

Keyword(s):

Polynomial Operator ◽

Characteristic Values ◽

Operator Pencils

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