Subdivisions of the Spectra for Generalized Difference Operator ???_{v} on the Sequence Space ???_{1}
Abstract
The fine spectrum of the generalized difference operator ???_{v} defined by a strictly decreasing sequence υ of positive reals on the space ???_{1} has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 719]. Following them, we determine the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator of generalized difference operator ???_{v} on ???_{1}.
 Publication:

Icms International Conference on Mathematical Science
 Pub Date:
 November 2010
 DOI:
 10.1063/1.3525122
 Bibcode:
 2010AIPC.1309..254B
 Keywords:

 mathematical operators;
 functional analysis;
 quantum mechanics;
 graph theory;
 02.30.Tb;
 02.30.Sa;
 03.65.Ta;
 02.10.Ox;
 Operator theory;
 Functional analysis;
 Foundations of quantum mechanics;
 measurement theory;
 Combinatorics;
 graph theory