Open AccessNon-commutative HE(A;l∞) and HE(A;l1) spaces
Author(s) -
Kanat Tulenov Serikovich,
Оraltay Zholymbayev
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1803955t
Subject(s) - mathematics , commutative property , factorization , pure mathematics , algebra over a field , algorithm
In this paper, we introduce non-commutative He(A;l?) and HE(A;l1) spaces. Then it is shown that these spaces possess many of the properties of non-commutative Hp(A) spaces, such as various factorization results including a Riesz type factorization theorem and contractibility of conditional expectation.