Some new results related to compact matrix operators in the class (( ℓ p ) T , ℓ ∞)

Verfasser / Beitragende:
[Katarina Petković]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/8(2015-08-01), 1339-1347
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4677-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4677-7 
100 1 |a Petković  |D Katarina  |u Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedova 14, 18000, Niš, Serbia  |4 aut 
245 1 0 |a Some new results related to compact matrix operators in the class (( ℓ p ) T , ℓ ∞)  |h [Elektronische Daten]  |c [Katarina Petković] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a BK spaces  |2 nationallicence 
690 7 |a bounded and compact linear operators  |2 nationallicence 
690 7 |a Hausdorff measure of noncompactness  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/8(2015-08-01), 1339-1347  |x 1439-8516  |q 31:8<1339  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Petković  |D Katarina  |u Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedova 14, 18000, Niš, Serbia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/8(2015-08-01), 1339-1347  |x 1439-8516  |q 31:8<1339  |1 2015  |2 31  |o 10114