functional calculus for sectorial and bisectorial operators
Studia Mathematica (2005)
- Volume: 166, Issue: 3, page 221-241
- ISSN: 0039-3223
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topGiovanni Dore, and Alberto Venni. "$H^{∞}$ functional calculus for sectorial and bisectorial operators." Studia Mathematica 166.3 (2005): 221-241. <http://eudml.org/doc/285117>.
@article{GiovanniDore2005,
abstract = {We give a concise exposition of the basic theory of $H^\{∞\}$ functional calculus for N-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. Weis about the boundedness of the operator $f(T₁,...,T_\{N\})$ when f is an R-bounded operator-valued holomorphic function.},
author = {Giovanni Dore, Alberto Venni},
journal = {Studia Mathematica},
keywords = {functional calculus; sectorial operators},
language = {eng},
number = {3},
pages = {221-241},
title = {$H^\{∞\}$ functional calculus for sectorial and bisectorial operators},
url = {http://eudml.org/doc/285117},
volume = {166},
year = {2005},
}
TY - JOUR
AU - Giovanni Dore
AU - Alberto Venni
TI - $H^{∞}$ functional calculus for sectorial and bisectorial operators
JO - Studia Mathematica
PY - 2005
VL - 166
IS - 3
SP - 221
EP - 241
AB - We give a concise exposition of the basic theory of $H^{∞}$ functional calculus for N-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. Weis about the boundedness of the operator $f(T₁,...,T_{N})$ when f is an R-bounded operator-valued holomorphic function.
LA - eng
KW - functional calculus; sectorial operators
UR - http://eudml.org/doc/285117
ER -
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