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- Title
General perturbation of (p, Y) -operator Bessel sequence.
- Authors
LIU Nan; WEI Miao
- Abstract
By the operator theory, some general perturbations of (p, Y)-operator Bessel se-quences in Banach space are mainly studied in this paper. Through defining a new operator se-quence, the sufficient conditions are proved for a lower triangular or a full form of coefficient matrix effecting to a given (p, Y)-operator Bessel sequence, such that the resulted sequence will be still a (p,Y)-operator Bessel sequence. The sufficient conditions for a sequence of oper-ators compounded by some scalar sequences effecting to a given (p, Y)-operator Bessel sequence to be a (p, Y)-operator operator Bessel are also obtained.
- Subjects
PERTURBATION theory; OPERATOR theory; BESSEL functions; MATHEMATICAL sequences; BANACH spaces; MATRICES (Mathematics)
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 2, p154
- ISSN
1006-8341
- Publication type
Article