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

Mohammed Thanoon Al-Neima | Zendy; Amir A. Mohammed | Zendy

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Proving 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 Thanoon 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 .

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