Hermitian operators on $H^{∞}_E$ and $S^{∞}_{𝓚}$

• Autorzy: James Jamison
• Języki publikacji: EN

Abstrakty

EN

A complete characterization of bounded and unbounded norm hermitian operators on $H^{∞}_E$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H^{∞}_E$ are determined. We also characterize a subclass of hermitian operators on $S^{∞}_{𝓚}$ for 𝓚 a complex Hilbert space.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 47B38: Operators on function spaces (general)
• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 130
• Numer: 1
• Strony: 51-59

Daty

wydano

2013

Twórcy

autor

James Jamison

• Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A

Identyfikatory

DOI

10.4064/cm130-1-5