The Kuenneth formula for Hilbert complexes

DOI10.1007/BF01694027zbMath0502.46053MaRDI QIDQ1172792

Corina Grosu, Florian-Horia Vasilescu

Publication date: 1982

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

zbMATH Keywords

Euler characteristicindexcommuting systems of operatorsKuenneth formulatensor product of Fredholm complexes of Hilbert spaces

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (2)

The spectral picture of \((L_ A,R_ B)\) ⋮ Essential spectra of tensor product Hilbert complexes and the \(\overline{\partial}\)-Neumann problem on product manifolds

Cites Work

• A joint spectrum for several commuting operators
• Tensor Products and the Joint Spectrum in Hilbert Spaces
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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