Fredholmness Conditions for Operators Perturbed by Orthogonal Idempotents in Banach Spaces

Authors

  • K.W Nyaluke Author
  • N.B Okelo Author
  • O Ongati Author

Keywords:

Fredholm operators; Hilbert space; Orthogonal idempotents; Banach spaces

Abstract

Let H be an infinite dimensional complex Hilbert space and F01(H) the set of all Fredholm operators perturbed by orthogonal idempotents in Banach space. In the present paper, we determine the conditions under which Fredholm operators retain Fredholmness when perturbed by orthogonal idempotents in Banach spaces. 

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Published

16-04-2020

Issue

Vol. 3 No. 3 & 4 (2020)

Section

Articles

License

Creative Commons License

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