On linear dynamics of sets of operators

Mohamed AMOUCH; Otmane BENCHIHEB

Makale detayları

On linear dynamics of sets of operators

Yazarlar:

Mohamed AMOUCH | Otmane BENCHIHEB

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.402-411

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745699

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let XXX be a complex topological vector space with dim(X)>1dim(X)>1dim(X)>1 and B(X)B(X)\mathcal{B}(X) the set of all continuous linear operators on XXX.  The concept of hypercyclicity for a subset of B(X)B(X)\mathcal{B}(X) was introduced in [1].  In this work, we introduce the notion of hypercyclic criterion for a subset of B(X)B(X)\mathcal{B}(X).  We extend some results known for a single operator and C0C0C_0-semigroup to a subset of B(X)B(X)\mathcal{B}(X)  and we give applications for CCC-regularized groups of operators.

Makale detayları

On linear dynamics of sets of operators

Yazarlar: Mohamed AMOUCH | Otmane BENCHIHEB

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.402-411

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745699

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Mohamed AMOUCH | Otmane BENCHIHEB

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.402-411

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745699

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098