Orthogonal Idempotents and Continuous Fredholm Operators under Perturbations

Authors

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

DOI:

https://doi.org/10.65000/gx443b83

Keywords:

Fredholm operator; Continuity; Perturbation; Orthogonality; Idempotency

Abstract

In the present work, authors presented characterization on continuity of Fredholm operators when perturbed by orthogonal idempotents in Banach space. In particular, authors show that these operators are continuous under pertubations in Hilbert spaces. 

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Published

13-06-2020

Issue

Vol. 3 No. 5 & 6 (2020)

Section

Articles

License

Copyright (c) 2020 K.W Nyaluke, N.B Okelo, O Ongati

Creative Commons License

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

How to Cite

Nyaluke, K., Okelo, N., & Ongati, O. (2020). Orthogonal Idempotents and Continuous Fredholm Operators under Perturbations. International Journal of Modern Computation, Information and Communication Technology, 3(5 & 6), 42-47. https://doi.org/10.65000/gx443b83