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arXiv · 1512.07830

Unbounded weighted conditional type operators on L^p spaces

Yousef Estaremi
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Abstract

In this paper we consider unbounded weighted conditional type operators on the space Lp, we give some conditions under which they are densely defined and we obtain a dense subset of the domain. Also, we get that a WCT operator is continuous if and only of it is every where defined. A description of polar decomposition, spectrum and spectral radius in this context are provided. Finally, we investigate hyperexpansive WCT operators on the Hilbert space L2. As a consequence hyperexpansive multiplication operators are investigated.

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Yousef Estaremi. 2015-12-24. Unbounded weighted conditional type operators on L^p spaces. https://arxiv.org/abs/1512.07830

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