scholarly journals Functional calculus and duality for closed operators

1985 ◽  
Vol 108 (2) ◽  
pp. 438-446
Author(s):  
I Erdelyi ◽  
Wang Shengwang
Keyword(s):  
Functional Calculus ◽  
Closed Operators

On some functional calculus of closed operators in a Banach space. II

2015 ◽  
Vol 59 (5) ◽  
pp. 1-12 ◽  
Author(s):  
A. A. Atvinovskii ◽  
A. R. Mirotin
Keyword(s):  
Banach Space ◽  
Functional Calculus ◽  
Closed Operators

On some functional calculus of closed operators in a Banach space

2013 ◽  
Vol 57 (10) ◽  
pp. 1-12 ◽  
Author(s):  
A. A. Atvinovskii ◽  
A. R. Mirotin
Keyword(s):  
Banach Space ◽  
Functional Calculus ◽  
Closed 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

Unbounded Linear Operators

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Von Neumann ◽  
Limit Circle ◽  
Sectorial Operators ◽  
Closed Operators ◽  
The Stability ◽  
Symmetric Operators ◽  
Unbounded Linear Operators ◽  
Special Case

This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle characterization for symmetric expressions to J-symmetric expressions is proved.

Closed operators in semi-Hilbertian spaces

2021 ◽  
pp. 1-12
Author(s):  
Hamadi Baklouti ◽  
Sirine Namouri
Keyword(s):  
Closed Operators

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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