The Spectrum of an Operator on an Interpolation Space

DOI10.2307/1995285zbMath0225.46034OpenAlexW4254227932MaRDI QIDQ5631611

James D. Stafney

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995285

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (13)

Stafney’s lemma holds for several “classical” interpolation methods ⋮ Spectral theory and complex interpolation ⋮ Type, cotype and twisted sums induced by complex interpolation ⋮ Spectra of singular measures as multipliers on \(L^p\) ⋮ Spectra of singular measures as multipliers on \(L^ p\). ⋮ A theory of complex interpolation for families of Banach spaces ⋮ On some “stability” properties of the full C*-algebra associated to the free group F_∞ ⋮ Interpolation of Weighted and Vector-Valued Hardy Spaces ⋮ Interpolation of Banach algebras and open sets ⋮ Twisting operator spaces ⋮ Projections from a von Neumann algebra onto a subalgebra ⋮ Complex interpolation of \(H^ p\) spaces on product domains ⋮ Complex interpolation of some quasi-Banach spaces

Cites Work

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• On the spectra of linked operators
• Holomorphic completions, analytic continuation, and the interpolation of semi-norms
• Semigroups of matrices defining linked operators with different spectra
• The Spectra of Bounded Linear Operators on the Sequence Spaces
• Intermediate spaces and interpolation, the complex method
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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