SUPERCYCLICITY OF JOINT ISOMETRIES

被引：2

作者：

Ansari, Mohammad ^{[1
]}

Bedayatian, Karim ^{[1
]}

Khani-Robati, Bahram ^{[1
]}

Moradi, Abbas ^{[1
]}

机构：

[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz 71454, Iran

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 05期

关键词：

supercyclicity; tuples; subnormal operators; spherical isometry; toral isometry;

D O I：

10.4134/BKMS.2015.52.5.1481

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a separable complex IIilbert space. A commuting tuple T - (T-1,...,T-n) of bounded linear operators on H is called a spherical isometry if Sigma(n)(i=1) T-i*T-i = 1 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 isometrics on C-n and there is no spherical or feral isometric tuple of operators on an infinite-dimensional Hilbert space.

引用

页码：1481 / 1487

页数：7

共 50 条

[21] Γ-Supercyclicity for Strongly Continuous Semigroups
Abbar, Arafat
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (08) : 3923 - 3942
[22] Weak* Hypercyclicity and Supercyclicity of Shifts on ℓ∞
Juan Bès
Kit C. Chan
Rebecca Sanders
Integral Equations and Operator Theory, 2006, 55 : 363 - 376
[23] On the supercyclicity and hypercyclicity of the operator algebra
Yousefi, B.
Rezaei, H.
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (07) : 1221 - 1232
[24] Hypercyclicity and supercyclicity of unbounded operators
Kumar, Abhay
ADVANCES IN OPERATOR THEORY, 2022, 7 (04)
[25] Compositional hypercyclicity equals supercyclicity
Bernal-Gonzalez, L.
Bonilla, A.
Calderon-Moreno, M. C.
HOUSTON JOURNAL OF MATHEMATICS, 2007, 33 (02): : 581 - 591
[26] Hereditarily Supercyclicity and Hypercyclic Tuples
Guan, Nanxing
Wu, Ying
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (03) : 365 - 376
[27] Weak Supercyclicity-An Expository Survey
Kubrusly, Carlos S.
RESULTS IN MATHEMATICS, 2024, 79 (05)
[28] Weak* hypercyclicity and supercyclicity of shifts on l∞
Bes, Juan
Chan, Kit C.
Sanders, Rebecca
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (03) : 363 - 376
[29] ON SUPERCYCLICITY FOR ABELIAN SEMIGROUPS OF MATRICES ON Rn
Herzi, Salah
Marzougui, Habib
OPERATORS AND MATRICES, 2018, 12 (03): : 855 - 865
[30] Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Yarmahmoodi, S.
Hedayatian, K.
Yousefi, B.
ABSTRACT AND APPLIED ANALYSIS, 2011, : 1 - 11

← 1 2 3 4 5 →