지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Let H be a separable complex Hilbert space. A commuting tuple T = (T1, . . . , Tn) of bounded linear operators on H is called a spherical isometry if ∑n i=1 Ti*Ti = I. The tuple T is called a toral isometry if each Ti is an isometry. In this paper, we show that for each n ≥ 1 there is a supercyclic n-tuple of spherical isometries on Cn and there is no spherical or toral isometric tuple of operators on an infinite-dimensional Hilbert space.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
A. Athavale / 1990 / On the intertwining of joint isometries / J. Operator Theory 23 (2) : 339 ~ 350
H. M. Hilden / 1973 / Some cyclic and non-cyclic vectors of certain operators / Indiana Univ. Math. J 23 : 557 ~ 565
M. Faghih Ahmadi / 2012 / Hypercyclicity and supercyclicity of m-isometric operators / Rocky Mountain J. Math 42 (1) : 15 ~ 23
N. S. Feldman / 2007 / Hypercyclic pairs of coanalytic Toeplitz operators / Integral Equations Operator Theory 58 (2) : 153 ~ 173
N. S. Feldman / 2008 / Hypercyclic tuples of operators and somewhere dense orbits / J. Math. Anal. Appl 346 (1) : 82 ~ 98
H. M. Hilden / 1973 / Some cyclic and non-cyclic vectors of certain operators / Indiana Univ. Math. J 23 : 557 ~ 565
M. Faghih Ahmadi / 2012 / Hypercyclicity and supercyclicity of m-isometric operators / Rocky Mountain J. Math 42 (1) : 15 ~ 23
N. S. Feldman / 2007 / Hypercyclic pairs of coanalytic Toeplitz operators / Integral Equations Operator Theory 58 (2) : 153 ~ 173
N. S. Feldman / 2008 / Hypercyclic tuples of operators and somewhere dense orbits / J. Math. Anal. Appl 346 (1) : 82 ~ 98
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Supercyclicity of ℓp-spherical and toral isometries on Banach spaces
대한수학회논문집
2017 .07
-
N-SUPERCYCLICITY OF AN A-m-ISOMETRY
호남수학학술지
2015 .01
-
Discussions on partial isometries in Banach spaces and Banach algebras
대한수학회보
2017 .01
-
GEOMETRIC CLASSIFICATION OF ISOMETRIES ACTING ON HYPERBOLIC 4-SPACE
대한수학회지
2017 .01
-
Generalizations of Alesandrov problem and Mazur-Ulam theorem for two-isometries and two-expansive mappings
대한수학회논문집
2019 .01
-
Examples of $m$-isometric tuples of operators on a Hilbert space
대한수학회지
2018 .01
-
Extension of phase-isometries between the unit spheres of atomic $L_p$-spaces for $p>0$
대한수학회보
2019 .01
-
POSETS ADMITTING THE LINEARITY OF ISOMETRIES
대한수학회보
2015 .01
-
Generalized Inverses and Solutions to Equations in Rings with Involution
Kyungpook Mathematical Journal
2024 .03
-
A characterization of hyperbolic spaces
대한수학회보
2018 .01
-
Incoherent Frequency 12-tupling Microwave Signal Generation Scheme Based on Cascade Modulators
Current Optics and Photonics
2021 .08
-
Multiplication operators on weighted Banach spaces of a tree
대한수학회보
2017 .01
-
Weak normal properties of partial isometries
대한수학회지
2019 .01
-
Controllability of rolling bodies with regular surfaces
대한수학회지
2016 .01
-
Arithmetic properties of partition four tuples with 3-cores
Advanced Studies in Contemporary Mathematics
2016 .01
-
POWER REGULARITY OF ISOMETRIC N-JORDAN OPERATORS
호남수학학술지
2016 .01
-
Linear maps preserving AN-operators
대한수학회보
2020 .01
-
Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces
한국수학논문집
2019 .01
-
H-Toeplitz operators on the Bergman space
대한수학회보
2021 .01
-
A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations
대한수학회보
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0