Anton Tselishchev

activity

20232026

most citedThere are no unconditional Schauder frames of translates in

L^{p} (R)

1 \leq p \leq 2

4 citations · 4 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.FA2025

Rescaling of unconditional Schauder frames in Hilbert spaces and completely bounded maps

Anton Tselishchev

We prove that if every element $u$ in a Hilbert space $H$ admits a representation as unconditionally convergent series $u = k = 1 \sum \infty ⟨ u, y_{k} ⟩ x_{k},$ then there…

math.FA2024

Almost Auerbach, Markushevich and Schauder bases in Hilbert and Banach spaces

Anton Tselishchev

For any sequence of positive numbers $(ε_{n})_{n = 1}^{\infty}$ such that $\sum_{n = 1}^{\infty} ε_{n} = \infty$ we provide an explicit simple construction of $(1+\varepsil…