On the basis property of the eigenvectors of a holomorphic selfadjoint operator-valued function

DOI10.1007/BF01204264zbMath0767.47005MaRDI QIDQ1179079

Ilya Krupnik

Publication date: 26 June 1992

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

zbMATH Keywords

Riesz basisselfadjointholomorphic operator-valued function

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

ON THE SPECTRUM OF A HOLOMORPHIC OPERATOR-VALUED FUNCTION WITH APPLICATIONS TO ABSORPTIVE PHOTONIC CRYSTALS, Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone, Self-adjoint analytic operator functions and their local spectral function, Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect, On basis properties of selfadjoint operator functions

Cites Work

• 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
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