Foundations of the Fredholm Alternative Theorem, Equicontinuous Operators and Completely Continuous Operators

Authors

  • GK Palei Department of Mathematics, B.N. College, Patna University, Patna
  • NP Sah Department of Mathematics M.M.A.M. Campus (Tribhuvan University), Biratnagar

DOI:

https://doi.org/10.3126/bibechana.v8i0.5700

Keywords:

Arzela-Ascoli's theorem, completely continuous, equicontinuous and Fredholm alternative theorem

Abstract

The Fredholm Alternative Theorem gives the notion of bounded and continuous operator which makes a family F of elements of C[a, b] bounded and equicontinuous. A continuous operator of finite rank is completely continuous but every continuous operator is not completely continuous operator.

Keywords: Arzela-Ascoli's theorem; completely continuous; equicontinuous and Fredholm alternative theorem

DOI: http://dx.doi.org/10.3126/bibechana.v8i0.5700

BIBECHANA 2012; 8: 127-130

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How to Cite

Palei, G., & Sah, N. (2012). Foundations of the Fredholm Alternative Theorem, Equicontinuous Operators and Completely Continuous Operators. BIBECHANA, 8, 127–130. https://doi.org/10.3126/bibechana.v8i0.5700

Issue

Vol. 8 (2012)

Section

Research Articles

License

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