Logarithmic concavity, unitarity and selfadjointness

Jan Stochel. "Logarithmic concavity, unitarity and selfadjointness." Banach Center Publications 67.1 (2005): 335-348. <http://eudml.org/doc/282038>.

@article{JanStochel2005,
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 𝓒₀-groups of Hilbert space operators having concavity properties are characterized as well.},
author = {Jan Stochel},
journal = {Banach Center Publications},
keywords = {isometry; unitary operator, selfadjoint operator; concave function; concave sequence; logarithmically concave function; logarithmically concave sequence},
language = {eng},
number = {1},
pages = {335-348},
title = {Logarithmic concavity, unitarity and selfadjointness},
url = {http://eudml.org/doc/282038},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Jan Stochel
TI - Logarithmic concavity, unitarity and selfadjointness
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 335
EP - 348
AB - 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.
LA - eng
KW - isometry; unitary operator, selfadjoint operator; concave function; concave sequence; logarithmically concave function; logarithmically concave sequence
UR - http://eudml.org/doc/282038
ER -