Shanwen Hu

activity

20122018

n

--tuple of projections in

C^{*}

--algebras

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.OA2018

Convex hulls of unitary orbits of normal elements in $C^{*}$ -algebras with tracial rank zero

Shanwen Hu, Huaxin Lin

Let $A$ be a unital separable simple $C^{*}$ -algebra with tracial rank zero and let $x, y \in A$ be two normal elements. We show that $x$ is in the closure of the convex full of th…

math.OA2014

Distance between unitary orbits of normal elements in simple C*-algebras of real rank zero

Shanwen Hu, Huaxin Lin

Let $x, y$ be two normal elements in a unital simple C*-algebra $A .$ We introduce a function $D_{c} (x, y)$ and show that in a unital simple AF-algebra there is a constant $1 > C > 0$ suc…

math.FA2012

Least Squares Problems in Orthornormalization

Shanwen Hu

For any $n$ -tuple $(α_{1}, ..., α_{n})$ of linearly independent vectors in Hilbert space $H$ , we construct a unique orthonormal basis $(ε_{1}, ..., ε_{n})$ of $s p an {α_{1}, ..., α_{n}}$ satisfying:…

math.OA2012★ 3 cited

Completeness of $n$ --tuple of projections in $C^{*}$ --algebras

Shanwen Hu, Yifeng Xue

Let $(P_{1}, ..., P_{n})$ be an $n$ --tuple of projections in a unital $C^{*}$ --algebra $a ˚$ . We say $\pn$ is complete in $a ˚$ if $a ˚$ is the linear direct sum of the closed subspaces $P_1å,..…

math.OA2012

$C^{*}$ -algebras generated by three projections

Shanwen Hu, Yifeng Xue

In this short note, we prove that for a $C^{*}$ -algebra $a ˚$ generated by $n$ elements, $M_{k} (a ˚ ~)$ is generated by $k$ mutually unitarily equivalent and almost mutually orthogon…

Convex hulls of unitary orbits of normal elements in C∗-algebras with tracial rank zero

Distance between unitary orbits of normal elements in simple C*-algebras of real rank zero

Least Squares Problems in Orthornormalization

Completeness of n--tuple of projections in C∗--algebras

C∗-algebras generated by three projections

Convex hulls of unitary orbits of normal elements in $C^{*}$ -algebras with tracial rank zero

Completeness of $n$ --tuple of projections in $C^{*}$ --algebras

$C^{*}$ -algebras generated by three projections