A+ CATEGORY SCIENTIFIC UNIT

Logarithmic concavity, unitarity and selfadjointness

Volume 67 / 2005

Jan Stochel Banach Center Publications 67 (2005), 335-348 MSC: Primary 47B15; Secondary 47B20. DOI: 10.4064/bc67-0-26

Abstract

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 ${\cal C}_0$-groups of Hilbert space operators having concavity properties are characterized as well.

Authors

  • Jan StochelInstitute of Mathematics
    Jagiellonian University
    30-059 Kraków
    Poland
    e-mail

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