The Journal of the Indian Mathematical Society

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Polynomial Compactness of Derivations


Affiliations
1 Department of Mathematics, Deen Dayal Upadhyaya College, Delhi University, New Delhi-110 015, India
2 Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
     

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Let B(l2) be the C*-algebra of all bounded linear operators on the Hilbert space l2 of square-summable sequences of complex numbers. It is known [1, 5, 6] that every non-zero derivation on B(l2) is non-compact. In this paper we investigate the polynomial compactness of some derivations on B(l2).

Keywords

C*-Algebra, Polynomial Compactness, Inner Derivation, Weighted Shift Operator.
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  • Polynomial Compactness of Derivations

Abstract Views: 249  |  PDF Views: 2

Authors

Sanjay Kumar
Department of Mathematics, Deen Dayal Upadhyaya College, Delhi University, New Delhi-110 015, India
Nand Lal
Department of Mathematics, Banaras Hindu University, Varanasi-221005, India

Abstract


Let B(l2) be the C*-algebra of all bounded linear operators on the Hilbert space l2 of square-summable sequences of complex numbers. It is known [1, 5, 6] that every non-zero derivation on B(l2) is non-compact. In this paper we investigate the polynomial compactness of some derivations on B(l2).

Keywords


C*-Algebra, Polynomial Compactness, Inner Derivation, Weighted Shift Operator.