Proving the Equality of the Spaces Q_b^r (A),Q_b^l (A) and BL(X) where X is a Complex Banach Space

Mohammed Th.  Al-Neima; Amir A.  Mohammed

doi:10.24996/ijs.2020.61.1.13

Proving the Equality of the Spaces Q_b^r (A),Q_b^l (A) and BL(X) where X is a Complex Banach Space

Authors

Mohammed Th. Al-Neima Department of Civil Engineering, College of Engineering, University of Mosul, Iraq
Amir A. Mohammed Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.1.13

Keywords:

bounded algebra of quotients, ultraprime algebra, norm ideal

Abstract

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 .

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Published

2020-01-26

Issue

Vol 61 No 1 (2020)

Section

Mathematics

How to Cite

Proving the Equality of the Spaces Q_b^r (A),Q_b^l (A) and BL(X) where X is a Complex Banach Space. (2020). Iraqi Journal of Science, 61(1), 127-131. https://doi.org/10.24996/ijs.2020.61.1.13