Compact-like operators in lattice-nonmed. spaces

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2018-04-01

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AYDIN, ABDULLAH
Emelyanov, Eduard
ERKURŞUN ÖZCAN, NAZİFE
Marabeh, M. A. A.

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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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Citation Formats

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.