Stability Conditions for Perturbed Semigroups  on a Hilbert Space via Commutators

Michael GİL'

doi:https://doi.org/10.33434/cams.508305

Article Details

Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators

Authors:

Michael GİL'

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 2, pp.129-134

Document Type:

Article

Publication Date:

6/2019

Document Language:

English

Document ID (Org No.):

2000911716

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.508305

Abstract:

 


Let AAA and BBB be linear operators on a Hilbert space. Let AAA and A+BA+BA+B generate C0C0C_0-semigroups etAetAe^{tA} and et(A+B)et(A+B)e^{t(A+B)}, respectively, and etAetAe^{tA} be exponentially stable. We establish exponential stability conditions for et(A+B)et(A+B)e^{t(A+B)} in terms of the commutator AB−BAAB−BAAB-BA, assuming that it has a bounded extension. Besides, BBB can be unbounded.

.

Article Details

Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators

Authors: Michael GİL'

Publisher: Emrah Evren KARA

Main Topics: Mathematics

Journal: Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 2, pp.129-134

Document Type: Article

Publication Date: 6/2019

Document Language: English

Document ID (Org No.): 2000911716

Frequency: Quarterly

pISSN: 2651-4001

DOI: https://doi.org/10.33434/cams.508305

Issues

Authors:

Michael GİL'

Publisher:

Emrah Evren KARA

Main Topics:

Mathematics

Journal:

Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 2, pp.129-134

Document Type:

Article

Publication Date:

6/2019

Document Language:

English

Document ID (Org No.):

2000911716

Frequency:

Quarterly

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.508305