Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect

DOI10.1007/BF01196605zbMath0786.47016OpenAlexW2079431018MaRDI QIDQ1804045

Ilya Krupnik

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196605

zbMATH Keywords

changes of dimension of the positive part of a continuous selfadjoint operator-valued functiondefect basis property

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (5)

Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. ⋮ Some remarks on factorization of selfadjoint matrix functions ⋮ Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils. ⋮ Self-adjoint analytic operator functions and their local spectral function ⋮ On basis properties of selfadjoint operator functions

Cites Work

• Principal part of resolvent and factorization of an increasing nonanalytic operator-function
• On the basis property of the eigenvectors of a holomorphic selfadjoint operator-valued function
• The spectral properties of a certain class of self-adjoint operator functions
• ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL
• Zur Spektraltheorie polynomialer Scharen selbstadjungierter Operatoren
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