$H^{\infty }$ functional calculus in real interpolation spaces, II

Giovanni Dore. "$H^{∞}$ functional calculus in real interpolation spaces, II." Studia Mathematica 145.1 (2001): 75-83. <http://eudml.org/doc/285105>.

@article{GiovanniDore2001,
abstract = {Let A be a linear closed one-to-one operator in a complex Banach space X, having dense domain and dense range. If A is of type ω (i.e.the spectrum of A is contained in a sector of angle 2ω, symmetric about the real positive axis, and $||λ(λI - A)^\{-1\}||$ is bounded outside every larger sector), then A has a bounded $H^\{∞\}$ functional calculus in the real interpolation spaces between X and the intersection of the domain and the range of the operator itself.},
author = {Giovanni Dore},
journal = {Studia Mathematica},
keywords = {Banach space; functional calculus; closed operator; interpolation space},
language = {eng},
number = {1},
pages = {75-83},
title = {$H^\{∞\}$ functional calculus in real interpolation spaces, II},
url = {http://eudml.org/doc/285105},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Giovanni Dore
TI - $H^{∞}$ functional calculus in real interpolation spaces, II
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 1
SP - 75
EP - 83
AB - Let A be a linear closed one-to-one operator in a complex Banach space X, having dense domain and dense range. If A is of type ω (i.e.the spectrum of A is contained in a sector of angle 2ω, symmetric about the real positive axis, and $||λ(λI - A)^{-1}||$ is bounded outside every larger sector), then A has a bounded $H^{∞}$ functional calculus in the real interpolation spaces between X and the intersection of the domain and the range of the operator itself.
LA - eng
KW - Banach space; functional calculus; closed operator; interpolation space
UR - http://eudml.org/doc/285105
ER -