A Functional Calculus for n-Tuples of Noncommuting Operators

被引：0

作者：

Fabrizio Colombo

Irene Sabadini

Daniele C. Struppa

机构：

[1] Politecnico di Milano,Dipartimento di Matematica

[2] Chapman University,Department of Mathematics and Computer Sciences

来源：

Advances in Applied Clifford Algebras | 2009年 / 19卷

关键词：

Slice monogenic functions; functional calculus; spectral theory; noncommuting operators; 47A10; 47A60; 30G35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We employ the notion of slice monogenic functions to define a new functional calculus for an n-tuple of not necessarily commuting operators. This calculus is consistent with the Riesz-Dunford calculus for a single operator.

引用

页码：225 / 236

页数：11

共 50 条

[1] A Functional Calculus for n-Tuples of Noncommuting Operators
Colombo, Fabrizio
Sabadini, Irene
Struppa, Daniele C.
[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (02) : 225 - 236
[2] MODELS FOR N-TUPLES OF NONCOMMUTING OPERATORS
BUNCE, JW
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 57 (01) : 21 - 30
[3] The H∞ functional calculus based on the S-spectrum for quaternionic operators and for n-tuples of noncommuting operators
Alpay, Daniel
Colombo, Fabrizio
Qian, Tao
Sabadini, Irene
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (06) : 1544 - 1584
[4] PARTIALLY ISOMETRIC DILATIONS OF NONCOMMUTING N-TUPLES OF OPERATORS
Jury, Michael T.
Kribs, David W.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (01) : 213 - 222
[5] MULTICENTRIC HOLOMORPHIC CALCULUS FOR n-TUPLES OF COMMUTING OPERATORS
Andrei, Diana
[J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (02): : 447 - 461
[6] Functional calculus for noncommuting operators
[J]. SPECTRAL PROPERTIES OF NONCOMMUTING OPERATORS, 2004, 1843 : 39 - 66
[7] SOME CLASSES OF COMMUTING N-TUPLES OF OPERATORS
CHO, M
TAKAGUCHI, M
[J]. STUDIA MATHEMATICA, 1984, 80 (03) : 245 - 259
[8] FUNCTIONAL-CALCULUS FOR NONCOMMUTING OPERATORS
POPESCU, G
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1995, 42 (02) : 345 - 356
[9] QUASIANALYTIC n-TUPLES OF HILBERT SPACE OPERATORS
Kerchy, Laszlo
[J]. JOURNAL OF OPERATOR THEORY, 2019, 81 (01) : 3 - 20
[10] On some notions of convergence for n-tuples of operators
Alpay, Daniel
Colombo, F.
Sabadini, I.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (16) : 2363 - 2371

← 1 2 3 4 5 →