Spectral properties and norm estimates associated to the Cc(k)-functional calculus

被引：0

作者：

Galé, JE

Miana, PJ

Pytlik, T

机构：

[1] Univ Zaragoza, Dept Mat, Zaragoza 50009, Spain

[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

JOURNAL OF OPERATOR THEORY | 2002年 / 48卷 / 02期

关键词：

functional calculus; holomorphic semigroups; abstract Cauchy problem; multipliers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Davies functional calculus and the AC((nu))-calculus coincide under common hypotheses. Then we apply the calculus to operators on Banach spaces, to investigate spectral invariance and norm estimates linked to abstract Cauchy equations. This extends some previous results in the area, and unifies diverse approaches. The theory is applied to operators related to multiplier theory on Lie groups.

引用

页码：385 / 418

页数：34

共 50 条

[21] OPERATOR-LIPSCHITZ ESTIMATES FOR THE SINGULAR VALUE FUNCTIONAL CALCULUS
Andersson, Fredrik
Carlsson, Marcus
Perfekt, Karl-Mikael
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (05) : 1867 - 1875
[22] Symbolic functional calculus and N-body resolvent estimates
Hassell, A
Vasy, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 173 (02) : 257 - 283
[23] Norm estimates for k-plane transforms and geometric inequalities
Rubin, B.
[J]. ADVANCES IN MATHEMATICS, 2019, 349 : 29 - 55
[24] NORM ESTIMATES FOR RESOLVENTS OF LINEAR OPERATORS IN A BANACH SPACE AND SPECTRAL VARIATIONS
Gil, Michael
[J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (01): : 113 - 139
[25] Clustering with Spectral Norm and the k-means Algorithm
Kumar, Amit
Kannan, Ravindran
[J]. 2010 IEEE 51ST ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, 2010, : 299 - 308
[26] H∞ functional calculus and square function estimates for Ritt operators
Le Merdy, Christian
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2014, 30 (04) : 1149 - 1190
[27] Lower estimates near the origin for functional calculus on operator semigroups
Chalendar, I.
Esterle, J.
Partington, J. R.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (06) : 1620 - 1635
[28] On Some Properties of the Quaternionic Functional Calculus
Colombo, Fabrizio
Sabadini, Irene
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2009, 19 (03) : 601 - 627
[29] On Some Properties of the Quaternionic Functional Calculus
Fabrizio Colombo
Irene Sabadini
[J]. Journal of Geometric Analysis, 2009, 19
[30] On functional calculus properties of Ritt operators
Lancien, Florence
Le Merdy, Christian
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (06) : 1239 - 1250

← 1 2 3 4 5 →