Please use this identifier to cite or link to this item: https://scholar.ptuk.edu.ps/handle/123456789/447
Title: Compact-like operators in lattice-normed spaces
Authors: AYDIN, ABDULLAH
EMELYANOV, EDUARD YU.
ERKURSUN-OZCAN, NAZIFE
MARABEH, MOHAMMAD A. A.
Keywords: Compact operator
Vector lattice
Lattice-normed space
Lattice-normed vector lattice
up-convergence
Mixed-normed space
Issue Date: 2018
Publisher: Indagationes Mathematicae
Abstract: A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded net xα, the net T xα has a p-convergent subnet. p-Compact operators generalize several known classes of operators such as compact, weakly compact, order weakly compact, AM-compact operators, etc. Similar to M-weakly and L-weakly compact operators, we define p-M-weakly and p-L-weakly compact operators and study some of their properties.We also study up-continuous and up-compact operators between lattice-normed vector lattices.
URI: https://scholar.ptuk.edu.ps/handle/123456789/447
Appears in Collections:Applied science faculty

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