scholarly journals A new functional calculus for noncommuting operators

2008 ◽  
Vol 254 (8) ◽  
pp. 2255-2274 ◽  
Author(s):  
Fabrizio Colombo ◽  
Irene Sabadini ◽  
Daniele C. Struppa
Keyword(s):  
Functional Calculus ◽  
Noncommuting Operators

scholarly journals Functional calculus for noncommuting operators.

1995 ◽  
Vol 42 (2) ◽  
pp. 345-356 ◽  
Author(s):  
Gelu Popescu
Keyword(s):  
Functional Calculus ◽  
Noncommuting Operators

A Functional Calculus for n-Tuples of Noncommuting Operators

2009 ◽  
Vol 19 (2) ◽  
pp. 225-236 ◽  
Author(s):  
Fabrizio Colombo ◽  
Irene Sabadini ◽  
Daniele C. Struppa
Keyword(s):  
Functional Calculus ◽  
Noncommuting Operators

scholarly journals The H∞ functional calculus based on the S-spectrum for quaternionic operators and for n-tuples of noncommuting operators

2016 ◽  
Vol 271 (6) ◽  
pp. 1544-1584 ◽  
Author(s):  
Daniel Alpay ◽  
Fabrizio Colombo ◽  
Tao Qian ◽  
Irene Sabadini
Keyword(s):  
Functional Calculus ◽  
Noncommuting Operators

Properties of the Local Functional Calculus

2002 ◽  
Vol 102 (2) ◽  
pp. 215-225
Author(s):  
Teresa Bermύdez ◽  
Manuel González ◽  
Antonio Martinόn
Keyword(s):  
Functional Calculus ◽  
Local Functional

scholarly journals The spectral theorem for well-bounded operators

1993 ◽  
Vol 54 (3) ◽  
pp. 334-351 ◽  
Author(s):  
Ian Doust ◽  
Qiu Bozhou
Keyword(s):  
Functional Calculus ◽  
Continuous Functions ◽  
Weak Compactness ◽  
Compact Interval ◽  
Spectral Theorem ◽  
Type B ◽  
Bounded Operators ◽  
Absolutely Continuous Functions ◽  
Absolutely Continuous

AbstractWell-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact interval. Depending on the weak compactness of this functional calculus, one obtains one of two types of spectral theorem for these operators. A method is given which enables one to obtain both spectral theorems by simply changing the topology used. Even for the case of well-bounded operators of type (B), the proof given is more elementary than that previously in the literature.

A local functional calculus

1986 ◽  
Vol 9 (2) ◽  
pp. 218-236 ◽  
Author(s):  
Paul McGuire
Keyword(s):  
Functional Calculus ◽  
Local Functional
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