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The automorphism group of the toeplitz algebra on H2(T2)

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Science China Mathematics 2000年第3期43卷 225-233页

作者：严从荃孙顺华 Department of Mathematics Sichuan University Chengdu 610064 China

The automorphism group of the C* -algebra generated by the toeplitz operatos with symbols being continuous functions on the bicircle is characterized completely. The investigation is based on the analysis of the behav... 详细信息

关键词： automorphism toeplitz algebra bicircle.

toeplitz and composition operators on H^2 (B_n)

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Science China Mathematics 1997年第6期40卷 578-584页

作者：曹广福孙顺华 Department of Mathematics Sichuan University Chengdu 610064 China

The composition operators with closed range on H2( Bn) are characterized, and the Frcdholmness of products of toeplitz and composition operators discussed. Moreover, using composition operators, the spectra of Toepli... 详细信息

关键词： toeplitz operator composition operator spectrum.

COMPLEX SYMMETRIC toeplitz OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL

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Acta Mathematica Scientia 2020年第1期40卷 35-44页

作者： Cao JIANG Xingtang DONG Zehua ZHOU School of Mathematics and Information Sciences Nanchang Hangkong UniversityNanchang 330063China School of Mathematics Tianjin UniversityTianjin 300350China

In this article,we study complex symmetric toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several ***,the necessary and sufficient conditions for toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the ***,some interesting symmetry properties of complex symmetric toeplitz operators are obtained.

关键词： complex symmetric operator toeplitz operator Bergman space pluriharmonic Bergman space

Groupoid structure of toeplitz algebra over L-shaped domain

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Science China Mathematics 1997年第2期40卷 163-171页

作者：严绍宗陈晓漫徐胜芝 Institute of Mathematics Fudan University Shanghai 200433 China

The structure of the groupoid G associated with the toeplitz C* -algebra C*(Ω) of the L-shaped domain is discussed. The detailed characterization of M∞ by the classification of the closed subgroup of the Euclidean s... 详细信息

关键词： L-shaped domain toeplitz C*-algebra.

Compactness for toeplitz and Hankel Operators on Weighted Bergman Spaces of Ball in C^(n*)

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Science China Mathematics 1993年第10期36卷 1153-1161页

作者：肖杰 Department of Mathematics Peking University Beijing 100871 PRC

This paper gives the necessary and sufficient conditions for toeplitz operator or Hankel operator of L~∞-symbol being compact on the weighted Bergman space of the unit ball in C^n.

关键词： unit ball weighted Bergman space toeplitz operator Hankel operator compact operator

Properties of toeplitz Operators on the Dirichlet Space Over the Ball

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Acta Mathematica Sinica,English Series 2019年第10期35卷 1617-1628页

作者： Yin Yin HU Yu Feng LU Liu LIU Department of Mathematics Dalian Maritime UniversityDalian 116024P.R.China Department of Mathematics Dalian University of TechnologyDalian 116024P.R.China

On the Dirichlet space of the unit ball, we study some algebraic properties of toeplitz operators. We give a relation between toeplitz operators on the Dirichlet space and their analogues defined on the Hardy space. Based on this, we characterize when finite sums of products of toeplitz operators are of finite rank. Also, we give a necessary and sufficient condition for the commutator and semi-commutator of two toeplitz operators being zero.

关键词： toeplitz operator pluriharmonic symbols Dirichlet space

Carleson Measures and toeplitz Operators on Doubling Fock Spaces

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Chinese Annals of Mathematics,Series B 2019年第3期40卷 349-362页

作者： Xiaofen LV Department of Mathematics Huzhou University

Given φ a subharmonic function on the complex plane C,with ?φdA being a doubling measure,the author studies Fock Carleson measures and some characterizations onμsuch that the induced positive toeplitz operator T_μ... 详细信息

关键词： Doubling Fock spaces Carleson measure toeplitz operators

Diagonal invariant ideals of toeplitz algebras on discrete groups

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Science China Mathematics 2002年第4期45卷 462-469页

作者：许庆祥 1. Department of Mathematics Shanghai Normal University 200234 Shanghai China

Diagonal invariant ideals of toeplitz algebras defined on discrete groups are introduced and studied. In terms of isometric representations of toeplitz algebras associated with quasi-ordered groups, a character of a discrete group to be amenable is clarified. It is proved that when G is Abelian, a closed two-sided non-trivial ideal of the toeplitz algebra defined on a discrete Abelian ordered group is diagonal invariant if and only if it is invariant in the sense of Adji and Murphy, thus a new proof of their result is given.

关键词： discrete ordered group, toeplitz algebra, diagonal invariant ideal.

Automorphism group on the toeplitz algebras

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Chinese Science Bulletin 1996年第8期41卷 617-620页

作者：严从荃孙顺华 Department of Mathematics Sichuan Union University Chengdu 610064 China

Let B be the unit ball of Cn, S2n-1 the unit sphere of Cn. The concept of the toeplitzoperators on Hardy space H2(S2n-1) is as usual. Denote by C(S2n-1) the algebra of all con-tinuous functions on S2n-1, and (C(S2n-1)... 详细信息

关键词： toeplitz algebras automorphism group extensions of C*-algebras several complex variables.