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20122023
most citedNoncommutative Uncertainty Principles

44 citations · 91 across the 21 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.FA2019

Similarity Invariants of Essentially normal Cowen-Douglas Operators and Chern Polynomials

Chunlan Jiang, Kui Ji, Jinsong Wu

In this paper, we systematically study a class of essentially normal operators by using the geometry method from the Cowen-Douglas theory and prove a Brown-Douglas-Fillmore theorem…

math.OA2019

Hausdorffifized algebraic group and invariants for -algebras with the ideal property

Guihua Gong, Chunlan Jiang, Liangqing Li

A -algebra is said to have the ideal property if each closed two-sided ideal of is generated by the projections inside the ideal, as a closed two sided ideal. -al…

math.OA2019

On the inductive limit of direct sums of simple TAI algebras

Bo Cui, Chunlan Jiang, Liangqing Li

An ATAI (or ATAF, respectively) algebra, introduced in [Jiang1] (or in [Fa] respectively) is an inductive limit $\lim\limits_{n\rightarrow\infty}(A_{n}=\bigoplus\limits_{i=1}A_{n}^…

math.OA2019

On the Decomposition Theorems for C*-algebras

Chunlan Jiang, Liangqing Li, Kun Wang

Elliott dimension drop interval algebra is an important class among all -algebras in the classification theory. Especially, they are building stones of algebra…

math.FA2019

Cowen-Douglas operators and the third of Halmos' ten problems

Chunlan Jiang, Junsheng Fang, Kui Ji

Let be a bounded linear operator on a complex separable infinite dimensional Hilbert space . is called intransitive if it leaves invariant spaces other than 0…

math.FA2019

Geometric Similarity invariants of Cowen-Douglas Operators

Chunlan Jiang, Kui Ji, Dinesh Kumar Keshari

In 1978, M. J. Cowen and R.G. Douglas introduce a class of operators (known as Cowen-Douglas class of operators) and associates a Hermitian holomorphic vector bundle to such an ope…