Gantmacher--Kreĭn theorem for 2 nonnegative operators in spaces of functions

DOI10.1155/AAA/2006/48132zbMath1130.47018OpenAlexW2896581036MaRDI QIDQ2491435

Olga Y. Kushel, Peter P. Zabreĭko

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53745

zbMATH Keywords

simplicity of eigenvaluesindex of imprimitivity

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Kernel operators (47B34) Tensor products of linear operators (47A80)

Cites Work

• A theorem of M. G. Krein and M. A. Rutman
• Operational calculus for tensor products of linear operators in Banach spaces
• Über das Spektrum positiver Operatoren
• Spectral Properties of Tensor Products of Linear Operators. I
• Spectral Properties of Tensor Products of Linear Operatrs. II: The Approximate Point Spectrum and Kato Essential Spectrum
• Operators on Tensor Products of Banach Spaces
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