Fredholmness Conditions for Operators Perturbed by Orthogonal Idempotents in Banach Spaces

Authors

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

DOI:

https://doi.org/10.65000/ddvaan18

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

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Section

Articles

How to Cite

Nyaluke, K., Okelo, N., & Ongati, O. (2020). Fredholmness Conditions for Operators Perturbed by Orthogonal Idempotents in Banach Spaces. International Journal of Modern Computation, Information and Communication Technology, 3(3 & 4), 30-35. https://doi.org/10.65000/ddvaan18