Stability Conditions for Perturbed Semigroups  on a Hilbert Space via Commutators

Michael GİL'

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

Makale detayları

Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators

Yazarlar:

Michael GİL'

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000911716

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

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

Özet:

 


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.

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Makale detayları

Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators

Yazarlar: Michael GİL'

Yayıncı: Emrah Evren KARA

Ana Başlıklar: Matematik

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

Belge Tipi: Makale

Yayın Tarihi: 6/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000911716

Sıklık: Üç Aylık

pISSN: 2651-4001

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

Sayı

Yazarlar:

Michael GİL'

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000911716

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

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