Open AccessProving the Equality of the Spaces Q_b^r (A),Q_b^l (A) and BL(X) where X is a Complex Banach Space
Author(s) -
Mohammed Th. Al-Neima,
Amir A. Mohammed
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.1.13
Subject(s) - mathematics , bounded function , banach space , ideal (ethics) , norm (philosophy) , hilbert space , pure mathematics , quotient , approximation property , discrete mathematics , banach manifold , quotient space (topology) , lp space , mathematical analysis , philosophy , epistemology , political science , law
Cabrera and Mohammed proved that the right and left bounded algebras of quotients and of norm ideal on a Hilbert space are equal to Banach algebra of all bounded linear operators on . In this paper, we prove that where is a norm ideal on a complex Banach space .