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Innovations in Information and Communication Technology

Advances in Computing, Communication, Automation and Biomedical Technology

Decomposition of Hyperbolic Semigroups

S.Meena, Department of Mathematics, KPR institute of Engineering and Technology, India

S.Panayappan, CSIR Emeritus Scientist, Former Principal, Department of Mathematics, Government Arts College, India

Abstract

In this article, the Banach space is decomposed into the direct sum of two closed subspaces such that the semigroup becomes forward exponentially stable on one subspace and backward exponentially stable on another subspace. Hyperbolic semigroup is characterised in terms of the spectrum of its cogenerator. Further, we study the rescaled hyperbolic semigroup to analyse its spectrum.

Keywords

C0-semigroups, rescaled semigroups, restricted semigroups, cogenerator of semigroups, discrete

Cite this article

S.Meena and S.Panayappan, “Decomposition of Hyperbolic Semigroups”, Innovations in Information and Communication Technology, pp. 311-313, December 2020.

Copyright

© 2020 S.Meena and S.Panayappan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.