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Banach Lattices with Weak Dunford-Pettis Property
We introduce and study the class of weak almost Dunford-Pettis operators. As an application, we characterize Banach lattices with the weak Dunford-Pettis property. Also, we establish some sufficientExpand
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Spectrum of one dimensional p-Laplacian operator with indefinite weight
This paper is concerned with the nonlinear boundary eigenvalue problem (ju 0 j p 2 u 0 ) 0 = m juj p 2 u u 2 I =]a; b[; u(a) = u(b) = 0; where p > 1, is a real parameter, m is an indenite weight, andExpand
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About positive weak Dunford-Pettis operators on Banach lattices
Abstract We characterize Banach lattices for which each positive weak Dunford–Pettis operator from a Banach lattice into another dual Banach lattice is almost Dunford–Pettis. Also, we give someExpand
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SOME CHARACTERIZATIONS OF ALMOST LIMITED SETS AND APPLICATIONS
Recently, J.X. Chen et al. introduced and studied the class of almost limited sets in Banach lattices. In this paper we establish some char- acterizations of almost limited sets in Banach latticesExpand
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On the class of almost L-weakly and almost M-weakly compact operators
In this paper, we introduce and study new concepts of almost L-weakly and almost M-weakly compact operators.
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Some results on AM-compact operators
We characterize Banach lattices for which the class of order weakly com- pact operators (resp. b-weakly compact operators) between Banach lattices coincide with that of b-AM-compact operators.
Spectrum of the A_p-Laplacian Operator - doi: 10.5269/bspm.v23i1-2.7466
This work deals with the nonlinear boundary eigenvalue problem: \begin{equation*}(V.P_{A,\rho,I}) \left\{ \begin{aligned} & A_p u = \lambda \rho(x) |u|^{p-2}u in I =]a; b[;\\ & u(a) = u(b) = 0;Expand
Some Results on b-AM-Compact Operators
We characterize Banach lattices for which the class of order weakly compact operators (resp. b-weakly compact operators) between Banach lattices coincide with that of b-AM-compact operators.
On the class of weak$$^{\star }$$ Dunford–Pettis operators
We give a characterization of weak$$^{\star }$$ Dunford–Pettis operators and we study its relation with limited completely continuous operators.
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Weak Compactness of Almost Limited Operators
This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if is a -Dedekind complete Banach lattice, then every almost limited operator isExpand
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