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Compact-like operators in lattice-nonmed. spaces
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Date
2018-04-01
Author
AYDIN, ABDULLAH
Emelyanov, Eduard
ERKURŞUN ÖZCAN, NAZİFE
Marabeh, M. A. A.
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded net x(alpha),,the net Tx(alpha) 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 operatois, 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 nonmed vector lattices. (C) 2017 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
Subject Keywords
Compact operator
,
Vector lattice
,
Lattice-normed space
,
Latticenormed vector lattice
,
Up-convergence
,
Mixed-normed space
URI
https://hdl.handle.net/11511/33232
Journal
INDAGATIONES MATHEMATICAE-NEW SERIES
DOI
https://doi.org/10.1016/j.indag.2017.11.002
Collections
Department of Mathematics, Article
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A. AYDIN, E. Emelyanov, N. ERKURŞUN ÖZCAN, and M. A. A. Marabeh, “Compact-like operators in lattice-nonmed. spaces,”
INDAGATIONES MATHEMATICAE-NEW SERIES
, pp. 633–656, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33232.