Perturbation of unbounded linear operators by γ-relative boundedness View Full Text


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Article Info

DATE

2018-11

AUTHORS

Aymen Ammar, Faten Bouzayeni, Aref Jeribi

ABSTRACT

Diagana (Handbook on operator theory. Springer, Basel, pp 875–880, 2015) studied some sufficient conditions such that if S, T and K are three unbounded linear operators with S being a closed operator, then their algebraic sum S+T+K is also a closed operator. The main focus of this paper is to extend these results to the closable operator by adding a new concept of the gap and the γ-relative boundedness inspired by the work of Jeribi et al. (Linear Multilinear Algebra 64:1654–1668, 2015). After that, we apply the obtained results to study the specific properties of some block operator matrices. More... »

PAGES

433-445

Journal

TITLE

Ricerche di Matematica

ISSUE

2

VOLUME

67

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11587-017-0341-0

DOI

http://dx.doi.org/10.1007/s11587-017-0341-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1092328270


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