Decomposing algebraic m-isometric tuples

被引：5
|
作者：
Le, Trieu [1 ]
机构：
[1] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 278卷 / 08期
关键词：
m-isometry; Nilpotent; Commuting tuple; OPERATORS; TRANSFORMATIONS; THEOREM; SYMMETRIES; PRODUCTS; (A;
D O I：
10.1016/j.jfa.2019.108424
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that any m-isometric tuple of commuting algebraic operators on a Hilbert space can be decomposed as a sum of a spherical isometry and a commuting nilpotent tuple. Our approach applies as well to tuples of algebraic operators that are hereditary roots of polynomials in several variables. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] EXAMPLES OF m-ISOMETRIC TUPLES OF OPERATORS ON A HILBERT SPACE
    Gu, Caixing
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (01) : 225 - 251
  • [2] m-isometric commuting tuples of operators on a Hilbert space
    Gleason, Jim
    Richter, Stefan
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 56 (02) : 181 - 196
  • [3] m-Isometric Commuting Tuples of Operators on a Hilbert Space
    Jim Gleason
    Stefan Richter
    [J]. Integral Equations and Operator Theory, 2006, 56 : 181 - 196
  • [4] m-Isometric tensor products
    Duggal, Bhagawati Prashad
    Kim, In Hyoun
    [J]. CONCRETE OPERATORS, 2023, 10 (01):
  • [5] m-isometric generalised derivations
    Duggal, B. P.
    Kim, I. H.
    [J]. CONCRETE OPERATORS, 2022, 9 (01): : 139 - 150
  • [6] ON m-ISOMETRIC TOEPLITZ OPERATORS
    Ko, Eungil
    Lee, Jongrak
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (02) : 367 - 378
  • [7] Operators with expansive m-isometric liftings
    Suciu, Laurian
    [J]. MONATSHEFTE FUR MATHEMATIK, 2022, 198 (01): : 165 - 187
  • [8] m-Isometric operators and their local properties
    Jabloński, Zenon Jan
    Jung, Il Bong
    Stochel, Jan
    [J]. Linear Algebra and Its Applications, 2020, 596 : 49 - 70
  • [9] Products of pairs of commuting d-tuples of Banach space operators satisfying an m-isometric property
    Duggal, B. P.
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 291 - 298
  • [10] On m-Isometric Semigroups, and 2-Isometric Cogenerators
    Rydhee, Eskil
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019, 91 (03)
12345