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q-DIFFERENCE OPERATOR ON Lq² (0, +∞).

Authors :
SERTBAŞ, Meltem
SARAL, Coşkun
Source :
Communications Series A1 Mathematics & Statistics; 2023, Vol. 72 Issue 1, p247-258, 12p
Publication Year :
2023

Abstract

In this research, the minimal and maximal operators defined by q- difference expression are given in the Hilbert space L<subscript>q</subscript>² (0, ∞). The existence problem of a q<superscript>−1</superscript>-normal extension for the minimal operator is mentioned. In addition, the sets of the minimal operator spectrum and the maximal operator spectrum are examined. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
HILBERT space
DIFFERENCE operators

Details

Language :
English
ISSN :
13035991
Volume :
72
Issue :
1
Database :
Complementary Index
Journal :
Communications Series A1 Mathematics & Statistics
Publication Type :
Academic Journal
Accession number :
163264688
Full Text :
https://doi.org/10.31801/cfsuasmas.1121701