Wold-type decomposition for some regular operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Ezzahraoui, H.¹  Mbekhta, M.²  Zerouali, E. H.¹ 

[1] Mohamed V Univ, Fac Sci, Rabat, Morocco

[2] Univ Lille 1, UFR Math, UMR CNRS 8524, F-59655 Villeneuve Dascq, France

关键词: Wold-type decomposition;    Beurling-type theorem;    Regular operator;    Generalized inverse;    Moore-Penrose inverse;    Generalized range;   

DOI  :  10.1016/j.jmaa.2015.05.004

来源: Elsevier

【 摘 要 】

This paper is concerned with Wold-type decomposition for regular operators whose orbits under any vector satisfy some growth conditions. Several results on left invertible operators close to isometrics are extended. We also give numerous results on the Moore Penrose inverse for regular operators in this particular setting. (C) 2015 Published by Elsevier Inc.

【 授权许可】

Free