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3 results on '"Tolooei, Y."'

1. Invertibility of generalized g-frame multipliers in Hilbert spaces

Author

Abolghasemi, M., Tolooei, Y., and Moosavianfard, Z.

Subjects
Mathematics - Functional Analysis
Abstract

In this paper, we investigate the invertibility of generalized g-Bessel multipliers. We show that for semi-normalized symbols, the inverse of any invertible generalized g-frame multiplier can be represented as a generalized g-frame multiplier. Also we give several approaches for constructing invertible generalized g-frame multipliers from the given one. It is worth mentioning that some of our results are quite different from those studied in the previous literatures on this topic.

Published
2019

3. REVERSIBILITY OF A MODULE WITH RESPECT TO THE BIFUNCTORS HOM AND REJ.

Author

TOLOOEI, Y. and VEDADI, M. R.

Subjects
*COGENERATORS, *ISOMORPHISM (Mathematics), *ENDOMORPHISM rings, *MODULES (Algebra), *HOMOMORPHISMS
Abstract

Let MR be a non-zero module and F : σ[MR]xσ;[MR] → Mod-ℤ a bifunctor. The F-reversibility of M is defined by F(X; Y) = 0 ⇒ F(Y;X) = 0 for all non-zero X; Y in σ[MR]. Hom (resp. Rej)- reversibility of M is characterized in different ways. Among other things, it is shown that RR (RR) is Hom-reversible if and only if R =Ⅹni=1 Ri such that each Ri is a perfect ring with a unique simple module (up to isomorphism). In particular, for a duo ring, the concepts of perfectness and Hom-reversibility coincide. [ABSTRACT FROM AUTHOR]

Published
2014

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