The Journal of the Indian Mathematical Society

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2-Inner Product which Takes Values in a Locally C* - Algebras


Affiliations
1 Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran, Islamic Republic of
2 Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran, Islamic Republic of
     

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In this paper we introduce the new concept of 2-inner product map that takes values on locally<i>C*</i>-algebras. Then we prove some results on Schwarz inequality, the polarization identity and related important properties.


Keywords

Locally C*-Algebras, Hilbert A-Module, 2-*-Inner Product Space, 2-Seminorm.
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  • 2-Inner Product which Takes Values in a Locally C* - Algebras

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Authors

B. Mohebbi Najmabadi
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran, Islamic Republic of
Tayebe Lal Shateri
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran, Islamic Republic of

Abstract


In this paper we introduce the new concept of 2-inner product map that takes values on locally<i>C*</i>-algebras. Then we prove some results on Schwarz inequality, the polarization identity and related important properties.


Keywords


Locally C*-Algebras, Hilbert A-Module, 2-*-Inner Product Space, 2-Seminorm.

References