Antinormal composition operators on $l^{2}(\lambda)$

Authors

  • Dilip Kumar Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India-221005 Author
  • Harish Chandra Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India-221005 Author

Keywords:

composition operator, normal operator, antinormal operator, Fredholm operator, self-adjoint operator, Poisson weighted sequence spaces

Subjects:

47B33, 47A05, 47A58, 47B37

Abstract

In this paper, we characterize self-adjoint andnormal composition operators on Poisson weighted sequence spaces$l^{2}(\lambda)$. However, the main purpose of this paper is todetermine explicit conditions on inducing map under which acomposition operator admits a best normal approximation. We extendresults of Tripathi and Lal [Antinormal composition operators on$l^2$, Tamkang J. Math. 39 (2008), 347-352] to characterizeantinormal composition operators on $l^{2}(\lambda)$.

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Published

2016-10-15

Issue

Vol. 68 No. 4 (2016): Vol. 68, Issue 4

Section

Articles

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Copyright (c) 2016 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.