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

A local functional calculus

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

Properties of the Local Functional Calculus

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

scholarly journals Non-analytic local functional calculus

1974 ◽  
Vol 24 (2) ◽  
pp. 270-283
Author(s):  
Ciprian Foiaş ◽  
Florian-Horia Vasilescu
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.

scholarly journals Extensions of an AC(σ) functional calculus

2010 ◽  
Vol 362 (1) ◽  
pp. 100-106
Author(s):  
Ian Doust ◽  
Venta Terauds
Keyword(s):  
Functional Calculus
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