# Compact-like operators in lattice-nonmed. spaces

2018-04-01
AYDIN, ABDULLAH
Emelyanov, Eduard
ERKURŞUN ÖZCAN, NAZİFE
Marabeh, M. A. A.
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.
INDAGATIONES MATHEMATICAE-NEW SERIES

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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. 