On Supercyclicity of Tuples of Operators

Soltani, Rahmat; Hedayatian, K.; Robati, B. Khani

doi:10.1007/s40840-014-0083-z

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2015

2019

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These definitions generalize the notions of hypercyclicity and supercyclicity of a single operator to a tuple of operators. Hypercyclicity and supercyclicity of tuples of operators have been investigated in ( [3], [4], [6], [7]). On the other hand, spherical isometries are a considerable part of tuples of operators.…”

Section: Introductionmentioning

confidence: 99%

Supercyclicity of Joint Isometries

Ansari¹,

Hedayatian²,

Robati³

et al. 2015

Bulletin of the Korean Mathematical Society

View full text Add to dashboard Cite

Abstract. Let H be a separable complex Hilbert space. A commuting tuple T = (T 1 , . . . , Tn) of bounded linear operators on H is called a spherical isometry ifThe tuple T is called a toral isometry if each T i is an isometry. In this paper, we show that for each n ≥ 1 there is a supercyclic n-tuple of spherical isometries on C n and there is no spherical or toral isometric tuple of operators on an infinite-dimensional Hilbert space.

show abstract

Section: Introductionmentioning

confidence: 99%