R. Lechner

activity

20092026

most citedFactorization of the identity through operators with large diagonal

12 citations · 59 across the 20 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.FA2018★ 8 cited

Strategically reproducible bases and the factorization property

Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1

We introduce the concept of strategically reproducible bases in Banach spaces and show that operators which have large diagonal with respect to strategically reproducible bases are…

math.FA2018★ 7 cited

Subsymmetric weak $^{*}$ Schauder bases and factorization of the identity

Richard Lechner

Let $X^{*}$ denote a Banach space with a subsymmetric weak $^{*}$ Schauder basis satisfying condition~\eqref{eq:condition-c}. We show that for any operator $T : X^{*} \to X^{*}$ , either $T(X…

math.FA2018★ 2 cited

Dimension dependence of factorization problems: bi-parameter Hardy spaces

Richard Lechner

Given $1 \leq p, q < \infty$ and $n \in N_{0}$ , let $H_{n}^{p} (H_{n}^{q})$ denote the canonical finite-dimensional bi-parameter dyadic Hardy space. Let $(V_{n} : n \in N_{0})$ denot…

math.FA2018★ 3 cited

Dimension dependence of factorization problems: Hardy spaces and $S L_{n}^{\infty}$

Richard Lechner

Given $1 \leq p < \infty$ , let $W_{n}$ denote the finite-dimensional dyadic Hardy space $H_{n}^{p}$ , its dual or $S L_{n}^{\infty}$ . We prove the following quantitative result: The identity o…

Strategically reproducible bases and the factorization property

Subsymmetric weak∗ Schauder bases and factorization of the identity

Dimension dependence of factorization problems: bi-parameter Hardy spaces

Dimension dependence of factorization problems: Hardy spaces and SLn∞​

Subsymmetric weak $^{*}$ Schauder bases and factorization of the identity

Dimension dependence of factorization problems: Hardy spaces and $S L_{n}^{\infty}$