Polynomial Compactness of Derivations

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Authors

  • Department of Mathematics, Deen Dayal Upadhyaya College, Delhi University, New Delhi-110 015 ,IN
  • Department of Mathematics, Banaras Hindu University, Varanasi-221005 ,IN

Keywords:

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

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).

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Published

2005-12-01

How to Cite

Kumar, S., & Lal, N. (2005). Polynomial Compactness of Derivations. The Journal of the Indian Mathematical Society, 72(1-4), 211–220. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21833