Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space

Language: English

Published by GRIN Verlag, 2017

366853151X / 9783668531512

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Druck auf Anfrage Neuware - Printed after ordering - Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, , course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a fourth order self-adjoint extension operator of minimal operator generated by difference equation defined on a weighted Hilbert space with the weight function w(t) > 0, t N where p(t), q(t), r(t) and m(t) are real-valued functions.The author has applied the M-matrix theory as developed in Hinton and Shaw in order to compute the spectral multiplicity and the location of the absolutely continuous spectrum of self-adjoint extension operator. These results have been an extension of some known spectral results of fourth order differential operators to difference setting. Similarly, they have extended results found in Jacobi matrices.In this thesis, chapter 1 is about introduction and some preliminary results including literature review, objectives, methodology and basic definitions. In chapter 2, the author has given the results on the computation of the eigenvalues, dichotomy conditions and some results on singular continuous spectrum. Chapter 3 contains the main results in deficiency indices, absolutely continuous spectrum and the spectral multiplicity. Finally, the author has summarized his results in chapter 4 and also highlighted areas of further research.…

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Title
Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space
Author
Evans Mogoi
Publisher
GRIN Verlag
Publication year
2017
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
366853151X
ISBN 13
9783668531512
Item weight
101 grams
Dimensions
210x148x5 mm

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