Chunlan Jiang

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3 papers · 1 filter

math.FA2026

Kaplansky's second test problem in operator algebras

Chunlan Jiang, Minghui Ma, Rui Shi +1

Kaplansky's second test problem on similarity asks: if $T$ and $S$ are elements in a unital Banach algebra $B$ and $T \oplus T$ is similar to $S \oplus S$ in $\mathbb{M}_2(…

math.FA2025

On Klee's problem of convex bodies in Banach spaces

Lixin Cheng, Chunlan Jiang, Liping Yuan

It is well known that every convex body in a finite dimensional normed space can be uniformly approximated by strictly convex and smooth convex bodies. However, in the case of infi…

math.FA2025

The invariant subspace problem and Rosenblum operators I

Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1

Let $T \in B (H)$ be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of $T$ by analyzing the growth of $∥ T^{n} ∥$ , wh…