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Some special characterisations of Fredholm operators in Banach space


 
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1. Title Title of document Some special characterisations of Fredholm operators in Banach space
 
2. Creator Author's name, affiliation, country Mahendra Shahi; Department of Mathematics, M.M.A.M. Campus, Biratnagar Tribhuvan University; Nepal
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Bounded linear operator; Compact operator; Fredholm operator; Banach space
 
4. Description 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
 
5. Publisher Organizing agency, location Birat Campus, Biratnagar, Nepal
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-05-10
 
8. Type Status & genre Peer-Reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://www.nepjol.info/index.php/BIBECHANA/article/view/10399
 
10. Identifier Digital Object Identifier http://dx.doi.org/10.3126/bibechana.v11i0.10399
 
11. Source Title; vol., no. (year) BIBECHANA; Vol 11 (2014)
 
12. Language English=en en
 
13. Relation Supp. Files
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.) Nepal
 
15. Rights Copyright and permissions Copyright (c)