Logarithmic concavity, unitarity and selfadjointness

• Autorzy: Jan Stochel
• Języki publikacji: EN

Abstrakty

EN

Isometric automorphisms of normed linear spaces are characterized by suitable concavity properties of powers of operators. Bounded selfadjoint operators in Hilbert spaces are described by parallel concavity properties of the exponential group. Unbounded infinitesimal generators of 𝓒₀-groups of Hilbert space operators having concavity properties are characterized as well.

Kategorie tematyczne

• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 335-348

Daty

wydano

2005

Twórcy

autor

Jan Stochel

• Institute of Mathematics, Jagiellonian University, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/bc67-0-26