1 citations · 2 across the 4 of their papers we have counts for
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The space is primary for
Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1
The classical Banach space consists of measurable scalar functions on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…
Subsymmetric bases have the factorization property
Richard Lechner
We show that every subsymmetric Schauder basis of a Banach space has the factorization property, i.e. factors through every bounded operator with…
The factorization property of
R. Lechner, P. Motakis, P. F. X. Müller +1
In this paper we consider the following problem: Let , be a Banach space with a normalized basis , whose biorthogonals are denoted by , for $k\…
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…
Subsymmetric weak Schauder bases and factorization of the identity
Richard Lechner
Let denote a Banach space with a subsymmetric weak Schauder basis satisfying condition~\eqref{eq:condition-c}. We show that for any operator , either $T(X…
Dimension dependence of factorization problems: bi-parameter Hardy spaces
Richard Lechner
Given and , let denote the canonical finite-dimensional bi-parameter dyadic Hardy space. Let denot…