We introduce and study some operational quantities which characterize the disjointly non-singular operators from a Banach lattice E to a Banach space Y when E is order continuous, and some other quantities which characterize the disjointly strictly singular operators for arbitrary E.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Supported in part by MICINN (Spain), Grant PID2019-103961GB-C22
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We give an elementary proof of the fact that given two polynomials P, Q without common zeros and a l...
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Exploiting several ℓ-factorization results for strictly singular operators, we study the strict sing...
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Abstract. The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every t...
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Abstract. An operator T: X → Y between Banach spaces is said to be finitely strictly singular if for...
AbstractWe consider the following three closed algebraic ideals of operators on a Banach lattice: co...
We give an elementary proof of the fact that given two polynomials P, Q without common zeros and a l...
AbstractSpectral properties of strictly singular and disjointly strictly singular operators on Banac...
AbstractThe notion of disjointly homogeneous Banach lattice is introduced. In these spaces every two...
AbstractAn operator T:X→Y between Banach spaces is said to be finitely strictly singular if for ever...
This is a survey on disjointly homogeneous Banach lattices and their applications. Several structura...
AbstractIt is shown that every positive strictly singular operator T on a Banach lattice satisfying ...
AbstractLet D(T)⊂X→Y be an unbounded linear operator where X and Y are normed spaces. It is shown th...
Exploiting several ℓ-factorization results for strictly singular operators, we study the strict sing...
The Schreier families are a collection of finite subsets of N and have been used to provide refinement...
Abstract. In this paper we further investigate Schreier singular operators introduced in [ADST]. If ...
Abstract. The notion of disjointly homogeneous Banach lattice is introduced. In these spaces every t...
We study the interpolation and extrapolation properties of strictly singular operators between diffe...
Properties of strictly singular operators have recently become of topical interest because the work ...
Abstract. An operator T: X → Y between Banach spaces is said to be finitely strictly singular if for...
AbstractWe consider the following three closed algebraic ideals of operators on a Banach lattice: co...
We give an elementary proof of the fact that given two polynomials P, Q without common zeros and a l...