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Absolutely simple p-summing operators and applications
In this paper, we are starting to construct a new theory of absolutely simple p -summing operators. We define a significant class of weak operator...
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Duality theory for generalized summing linear operators
Generalizing classical results of the theory of absolutely summing operators, in this paper we characterize the duals of a quite large class of...
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Maximal Ideals of Generalized Summing Linear Operators
We prove when a Banach ideal of linear operators defined, or characterized, by the transformation of vector-valued sequences is maximal. Known...
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Ideals of mid \({\varvec{p}}\)-summing operators: a tensor product approach
In this article, we study the ideals of mid p -summing operators and obtain a representation by tensor norms for these operator ideals. These tensor...
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Lipschitz p-lattice summing operators
In this paper, we introduce and study the notion of Lipschitz p -lattice summing operators in the category of Lipschitz operators which generalizes...
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Positive p-summing operators and disjoint p-summing operators
In the present paper, we introduce a new concept of positive p -majorizing operators as a dual notion of positive p -summing operators and generalize...
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Absolutely (q, 1)-summing operators acting in C(K)-spaces and the weighted Orlicz property for Banach spaces
We provide a new separation-based proof of the domination theorem for ( q , 1)-summing operators. This result gives the celebrated factorization...
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Lipschitz (q, p)-Summing Maps from C(K)-Spaces to Metric Spaces
Variants of the notion of ( q , p )-summing operator are introduced in the setting of Lipschitz map**s acting between metric spaces. Some classes of...
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The Maximal Function of the Devil’s Staircase is Absolutely Continuous
We study the problem of whether the centered Hardy–Littlewood maximal function of a singular function is absolutely continuous. For a parameter
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An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators
We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the...
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Positively p-nuclear operators, positively p-integral operators and approximation properties
In the present paper, we introduce and investigate a new class of positively p -nuclear operators that are positive analogues of right p -nuclear...
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Convolution Integral Operators in Variable Bounded Variation Spaces
Working in the frame of variable bounded variation spaces in the sense of Wiener, introduced by Castillo, Merentes, and Rafeiro, we prove convergence...