caa a22 4500 605461961 CHVBK 20210128100245.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10114-015-4677-7 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4677-7 Petković Katarina Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedova 14, 18000, Niš, Serbia aut Some new results related to compact matrix operators in the class (( ℓ p ) T , ℓ ∞) [Elektronische Daten] [Katarina Petković] The main goal of this paper is to establish necessary and sufficient conditions for a matrix A ∈ ((ℓ p ) T , ℓ ∞), where T is an arbitrary triangle, 1 ≤ p ≤ ∞, to be a compact operator. In the past, only sufficient conditions were established in almost all of those cases, by using the Hausdorff measure of noncompactness. We improve those results by applying another method for the characterizations of compact linear operators between BK spaces. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 BK spaces nationallicence bounded and compact linear operators nationallicence Hausdorff measure of noncompactness nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1339-1347 1439-8516 31:8<1339 2015 31 10114 https://doi.org/10.1007/s10114-015-4677-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4677-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Petković Katarina Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedova 14, 18000, Niš, Serbia aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1339-1347 1439-8516 31:8<1339 2015 31 10114