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arXiv · 1411.1018

Properties of Multiplication Operators on K\"othe spaces

René Erlin Castillo·Julio C. Ramos Fernández·Margot Salas-Brown
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Abstract

We make an exhaustive study of the properties of multiplication operator $M_u$ acting on K\"othe spaces. We characterize the multiplication operators, acting on K\"othe spaces, which are: bounded, injective, onto, bijective, Fredholm, compact, with closed range and with range finite. We also study the spectrum, the $n$-power and calculate the essential norm of $M_u$ and we study the algebra of multiplication operators.

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René Erlin Castillo, Julio C. Ramos Fernández, Margot Salas-Brown. 2014-11-04. Properties of Multiplication Operators on K\"othe spaces. https://arxiv.org/abs/1411.1018

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