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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | STOCHASTIC ANALYSIS AND APPLICATIONS | ||||
Publisher: | MARCEL DEKKER INC | ||||
ISSN: | 0736-2994 | ||||
Official Date: | 1998 | ||||
Dates: |
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Volume: | 16 | ||||
Number: | 6 | ||||
Number of Pages: | 29 | ||||
Page Range: | pp. 1019-1047 | ||||
Publication Status: | Published |
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