NDLI: Spectral Estimates and Basis Properties for Self-Adjoint Block Operator Matrices

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Quasi-wandering Subspaces in the Bergman Space

Toeplitz Operators on the Dirichlet Space

Distances from Bloch Functions to Q K-Type Spaces

Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices

A General Christoffel-Darboux Type Formula

Unicity of the Integrated Density of States for Relativistic Schrödinger Operators with Regular Magnetic Fields and Singular Electric Potentials

Almost Invariant Half-spaces of Algebras of Operators

Spectral Estimates and Basis Properties for Self-Adjoint Block Operator Matrices

On Tractability and Ideal Problem in Non-Associative Operator Algebras

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Spectral Estimates and Basis Properties for Self-Adjoint Block Operator Matrices

Content Provider	Springer Nature Link
Author	Strauss, Michael
Copyright Year	2010
Abstract	In the first part of this manuscript a relationship between the spectrum of self-adjoint operator matrices and the spectra of their diagonal entries is found. This leads to enclosures for spectral points and in particular, enclosures for eigenvalues. We also consider graph invariant subspaces, and their corresponding angular operators. The existence of a bounded angular operator leads to basis properties of the first component of eigenvectors of operator matrices for which the corresponding eigenvalues lie in a half line. The results are applied to an example from magnetohydrodynamics.
Ending Page	277
Page Count	21
Starting Page	257
File Format	PDF
ISSN	0378620X
e-ISSN	14208989
Journal	Integral Equations and Operator Theory
Issue Number	2
Volume Number	67
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-03-19
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	eigenvalue estimates Invariant subspaces graph invariant subspace angular operator Spectrum, resolvent Analysis magnetohydrodynamics Bari basis Schur complement Eigenvalues, estimation of eigenvalues, upper and lower bounds Symmetric and selfadjoint operators (unbounded) Local spectral properties
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Analysis

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