
Deviation from weak Banach–Saks property for countable direct sums
Author(s) -
Andrzej Kryczka
Publication year - 2014
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.1515/umcsmath-2015-0005
Subject(s) - countable set , mathematics , property (philosophy) , discrete mathematics , pure mathematics , combinatorics , philosophy , epistemology
We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (X