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Kato's inequality and essential self-adjointness of dirichlet operators on certain Banach spaces

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UNSPECIFIED (1998) Kato's inequality and essential self-adjointness of dirichlet operators on certain Banach spaces. STOCHASTIC ANALYSIS AND APPLICATIONS, 16 (6). pp. 1019-1047. ISSN 0736-2994

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Abstract

In this paper, we study Dirichlet operators on certain smooth Banach spaces. We establish the well-known Kato's inequality in our general infinite dimensional setting. By applying this,we show the essential self-adjointness of Dirichlet operators with non-constant diffusion part on certain smooth Banach spaces. We also provide an approximation criterion for essential self-adjointness of Dirichlet operators with identity diffusion part on M-type 2 Banach spaces via the classical notion of semi inner-product.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: STOCHASTIC ANALYSIS AND APPLICATIONS
Publisher: MARCEL DEKKER INC
ISSN: 0736-2994
Date: 1998
Volume: 16
Number: 6
Number of Pages: 29
Page Range: pp. 1019-1047
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/15251

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