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The spectrum of the operator D(r, 0, 0, s) over the sequence space bv0.

Authors :
Paul, Avinoy
Tripathy, Binod Chandra
Source :
Georgian Mathematical Journal; Sep2015, Vol. 22 Issue 3, p421-426, 6p
Publication Year :
2015

Abstract

In this paper, we study the spectrum of the operator D(r, 0, 0, s) on a sequence space bv<subscript>0</subscript>, the space of all sequences x such that lim<subscript>n→∞</subscript> x<subscript>n</subscript> = 0 and ∥ x ∥ = Σ <subscript>n=0</subscript><superscript>∞ </superscript> ∣ x <subscript>n+1</subscript> - x<subscript>n</subscript> ∣ < ∞. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1072947X
Volume :
22
Issue :
3
Database :
Complementary Index
Journal :
Georgian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
109326117
Full Text :
https://doi.org/10.1515/gmj-2015-0035