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SECOND-ORDER NONCOMMUTATIVE DIFFERENTIAL AND LIPSCHITZ STRUCTURES DEFINED BY A CLOSED SYMMETRIC OPERATOR

Part of: Topological algebras, normed rings and algebras, Banach algebras Linear spaces and algebras of operators

Published online by Cambridge University Press:  25 November 2015

S. J. BHATT  and
MEETAL M. SHAH
S. J. BHATT*
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat 388120, India email [email protected]
MEETAL M. SHAH
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat 388120, India email [email protected]
*
✉[email protected]
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Abstract

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The Banach $^{\ast }$-operator algebras, exhibiting the second-order noncommutative differential structure and the noncommutative Lipschitz structure, that are determined by the unbounded derivation and induced by a closed symmetric operator in a Hilbert space, are explored.

Keywords

second-order noncommutative differential structuresymmetric operatornoncommutative Lipschitz structure

MSC classification

Primary: 47L40: Limit algebras, subalgebras of $C^*$-algebras
Secondary: 46H99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 100 , Issue 2 , April 2016 , pp. 145 - 162
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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