Some special characterisations of Fredholm operators in Banach space

Authors

  • Mahendra Shahi Department of Mathematics, M.M.A.M. Campus, Biratnagar Tribhuvan University

DOI:

https://doi.org/10.3126/bibechana.v11i0.10399

Keywords:

Bounded linear operator, Compact operator, Fredholm operator, Banach space

Abstract

A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays in global analysis. The aim of this paper is to prove the spectral theorem for compact operators in refined form and to describe some properties of the essential spectrum of general bounded operators by the use of the theorem of Fredholm operators. For this, we have analysed the Fredholm operator which is defined in a Banach space for some special characterisations.

DOI: http://dx.doi.org/10.3126/bibechana.v11i0.10399

BIBECHANA 11(1) (2014) 169-174

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Published

2014-05-10

How to Cite

Shahi, M. (2014). Some special characterisations of Fredholm operators in Banach space. BIBECHANA, 11, 169–174. https://doi.org/10.3126/bibechana.v11i0.10399

Issue

Vol. 11 (2014)

Section

Research Articles

License

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