AbstractIntegral formulas from the theory of holomorphic functions of several variables are applied to explicit treatment of the analytic functional calculus for commuting operators in Banach spaces (commutative Banach algebras). Among others the integral formula of Henkin in smooth convex domains, is used. An application is also given to commuting normal operators in Hilbert spaces
AbstractA Banach algebra A of functionals on C[a, b] is introduced and it is proved that the operato...
The purpose of this paper is to describe some applications of the theory of Hilbert spaces to integr...
This is a survey about some problems from the theory of holomorphic functions on Banach spaces which...
AbstractIntegral formulas from the theory of holomorphic functions of several variables are applied ...
. In this paper integral formulae, based on Taylor's functional calculus for several operators,...
In operator theory, one of the central concepts is the spectrum of an operator and if one knows how ...
AbstractWe develop a theory of holomorphic functions in several noncommuting (free) variables and pr...
AbstractMackey-complete complex commutative continuous inverse algebras generalize complex commutati...
. Let S and T be commuting operators of type ! and type $ in a Banach space X . Then the pair has a ...
AbstractThis paper continues the joint work of the authors begun in the article “On Strong Product I...
One of the central concepts of operator theory is the spectrum of an operator and if one knows that ...
AbstractVersions of the Cauchy and Poisson formulas in the unit ball of Cn are defined, by means of ...
AbstractProduct integration is defined for a very general class of bounded-operator-valued functions...
AbstractLet fn(z)=z/(1−z)n+1, n∈No, and f(−1)n be defined such that fn∗f(−1)n=z1−z, where ∗ denotes ...
This work shows classical results of analysis of holomorphic functions of both one and several compl...
AbstractA Banach algebra A of functionals on C[a, b] is introduced and it is proved that the operato...
The purpose of this paper is to describe some applications of the theory of Hilbert spaces to integr...
This is a survey about some problems from the theory of holomorphic functions on Banach spaces which...
AbstractIntegral formulas from the theory of holomorphic functions of several variables are applied ...
. In this paper integral formulae, based on Taylor's functional calculus for several operators,...
In operator theory, one of the central concepts is the spectrum of an operator and if one knows how ...
AbstractWe develop a theory of holomorphic functions in several noncommuting (free) variables and pr...
AbstractMackey-complete complex commutative continuous inverse algebras generalize complex commutati...
. Let S and T be commuting operators of type ! and type $ in a Banach space X . Then the pair has a ...
AbstractThis paper continues the joint work of the authors begun in the article “On Strong Product I...
One of the central concepts of operator theory is the spectrum of an operator and if one knows that ...
AbstractVersions of the Cauchy and Poisson formulas in the unit ball of Cn are defined, by means of ...
AbstractProduct integration is defined for a very general class of bounded-operator-valued functions...
AbstractLet fn(z)=z/(1−z)n+1, n∈No, and f(−1)n be defined such that fn∗f(−1)n=z1−z, where ∗ denotes ...
This work shows classical results of analysis of holomorphic functions of both one and several compl...
AbstractA Banach algebra A of functionals on C[a, b] is introduced and it is proved that the operato...
The purpose of this paper is to describe some applications of the theory of Hilbert spaces to integr...
This is a survey about some problems from the theory of holomorphic functions on Banach spaces which...
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