4 papers
Rigidity of isometries on vector and normed lattices
Noel Murasko, Tomasz Szczepanski
We study rigidity phenomena for maps on vector and normed lattices arising from isometric, order-theoretic, and modulus-preserving conditions. We first investigate the role of stri…
Nonlinear determination and phase retrieval under unimodular constraints
Lukas Liehr, Tomasz Szczepanski
We study nonlinear determination problems in Hilbert spaces in which inner products are observed up to prescribed rotations in the complex plane. Given a Hilbert space and a su…
Minimal dispersion on the sphere
Alexander E. Litvak, Mathias Sonnleitner, Tomasz Szczepanski
The minimal spherical cap dispersion is the largest number such that, for every points on the -dimensional Euclidean u…
On the chain of commuting operators on Banach spaces
Tomasz Szczepanski
An operator on a Banach space is said to be of chain if there exist non-scalar operators and a non-zero compact operator such that $$T \leftrightarr…