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Seyed Kamel Hosseini

Publications and source records attributed to Seyed Kamel Hosseini.

2 recordsLinked to original sources
arXiv2020

Lambert Multipliers Between $L^P$-spaces as a Banach Algebra

For 1 ≤ p < ∞, it is known that the set K^*_p contains of all Lambert multipliers acting between L^p-spaces is a Banach space. In this study, we introduce a new induced norm by conditional expectation operators to show that K^*_p is a commutative Banach algebra with respect to this norm. Furthermore, in main result, the Fredholm *-multiplication operators on L^p-spaces are characterized, and some more results are obtained.

math.FA↗
arXiv2019

Viewing *-multiplication operators between Orlics spaces

In this paper, Lambert multipliers acting between Orlicz spaces are characterized based on conditional expectation operators. Also, we give necessary and sufficient conditions to *-multiplication operators to be closed range. Finally, the necessary condition under which a *-multiplication operator to be Fredholm operator is investigated.

math.FA↗