Results 21 to 30 of about 357 (48)
On the ideal center of a dual vector lattice
, 2015 Let X be a vector lattice with order dual X′. In this paper, we investigate when Orth(X′) is an ideal center in X′. In [6], Toumi answers related question posed by Wickstead in [1]. This study is the dual version of the paper of Toumi in [6]. Mathematics
Serap Ozcan, Ö. Gök
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On the Representation of Orthogonally Additive Polynomials in $\ell_p$ [PDF]
, 2009 We present a new proof of a Sundaresan’s result which shows that the spaceof orthogonally additive polynomials P o ( k p ) is isometrically isomorphic to p/p−k if ...
Alberto Ibort, P. Linares, J. G. Llavona
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The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces
Demonstratio MathematicaWe calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos +2 more
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Plus-Minus Property as a Generalization of the Daugavet Property [PDF]
, 2010 2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
core
ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP [PDF]
, 1998 For an n×n nonnegative matrix P , an isomorphism is obtained between the lattice of initial subsets (of {1, · · · , n}) for P and the lattice of P -invariant faces of the nonnegative orthant R+.
B. Tam, H. Schneider
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Some results on disjointly weakly compact sets
Demonstratio MathematicaWe give an operator characterization of disjointly weakly compact sets and show that disjointly weakly compact sets coincide with reciprocal Dunford-Pettis sets.
Akay Barış, Gök Ömer
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The class of Banach lattices is not primary
Forum of Mathematics, SigmaBuilding on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
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Duality problem for the class of limited completely continuous operators
, 2014 We establish necessary and sufficient conditions under which the class Lcc(E,F) of limited completely continuous operators between two Banach lattices verifies the direct and reciprocal duality property.
Jawad 'Michane +3 more
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Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
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