2 papers
math.FA2026
On strengthened versions of Klee's convex body problem in Banach spaces
Lixin Cheng, Wuyi He, Chulei Liu +1
In a recent article, Cheng, Jiang and Yuan gave an affirmative answer to Klee's convex bodies problem of Banach spaces in the sense of strict convexity and Gâteaux smoothness. In…
math.FA2026
Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class
Jinghao Huang, Fedor Sukochev, Zhizheng Yu
The classical Arazy's decomposition theorem provides a powerful tool in the study of sequences in (and isomorphisms on) a separable operator ideal of the algebra $\m…