AbstractWe introduce a C-regularized scalar operator. These have the properties of spectral operators of scalar type, except that the spectral measure is bounded and countably additive only after applying the regularizing operator C. We discuss the relationship between regularized scalar operators, regularized functional calculi, and generating a polynomially bounded regularized group
We investigate the consistency of spectral regularization algorithms. We generalize the usual defini...
Abstract. We show that the Davies functional calculus and the AC(ν)-calculus coincide under common h...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractIn [1], the notions of C-regularized functional calculus and C-regularized scalar operator a...
It is shown that, for the spectral operators of scalar type, the well-known characteriza-tions of th...
Abstract. We introduce the notion of spectralizable operators. A closed oper-ator A in a Hilbert spa...
Abstract. Let iAj(1 ≤ j ≤ n) be generators of commuting bounded strongly continuous groups, A ≡ (A1,...
The purpose of this paper is to give two characterizations of scalar-type spectral operators
Abstract. It is shown that polynomially bounded operators on Banach spaces have polynomially bounded...
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterize...
We characterize closed linear operators A, on a Banach space, for which the corresponding abstract C...
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces ...
\(C^0\)-scalar-type spectrality criterions for operators \(A\), whose resolvent set contains the neg...
We present a data dependent generalization bound for a large class of regularized algorithms which i...
AbstractThe main result is that if {Tt : t ≥ 0} is a (C0)-semigroup of scalar-type operators (in Dun...
We investigate the consistency of spectral regularization algorithms. We generalize the usual defini...
Abstract. We show that the Davies functional calculus and the AC(ν)-calculus coincide under common h...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractIn [1], the notions of C-regularized functional calculus and C-regularized scalar operator a...
It is shown that, for the spectral operators of scalar type, the well-known characteriza-tions of th...
Abstract. We introduce the notion of spectralizable operators. A closed oper-ator A in a Hilbert spa...
Abstract. Let iAj(1 ≤ j ≤ n) be generators of commuting bounded strongly continuous groups, A ≡ (A1,...
The purpose of this paper is to give two characterizations of scalar-type spectral operators
Abstract. It is shown that polynomially bounded operators on Banach spaces have polynomially bounded...
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterize...
We characterize closed linear operators A, on a Banach space, for which the corresponding abstract C...
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces ...
\(C^0\)-scalar-type spectrality criterions for operators \(A\), whose resolvent set contains the neg...
We present a data dependent generalization bound for a large class of regularized algorithms which i...
AbstractThe main result is that if {Tt : t ≥ 0} is a (C0)-semigroup of scalar-type operators (in Dun...
We investigate the consistency of spectral regularization algorithms. We generalize the usual defini...
Abstract. We show that the Davies functional calculus and the AC(ν)-calculus coincide under common h...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
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