Title of article
Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups
Author/Authors
Lashkarizadeh Bami، M. Department of Mathematics - Faculty of Sciences - University of Isfahan, Isfahan, Iran
Issue Information
فصلنامه با شماره پیاپی 0 سال 2006
Pages
9
From page
165
To page
173
Abstract
In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established.
Abstract
In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological * semigroup S with a weight function w into a proper H*-algebra A in terms of w bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established.
Keywords
Topological semigroup , H*-algebra , Positive definite function , Negative definite function
Journal title
Journal of Sciences
Serial Year
2006
Journal title
Journal of Sciences
Record number
2386265
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