9 citations · 54 across the 20 of their papers we have counts for
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Schauder bases in Lipschitz free spaces over nets in Banach spaces
Petr Hájek, Rubén Medina
In the present note we give two explicit constructions (based on a retractional argument) of a Schauder basis for the Lipschitz free space , over certain uniformly…
Lipschitz retractions and complementation properties of Banach spaces
Petr Hájek, Andrés Quilis
In the present paper we introduce and study the Lipschitz retractional structure of metric spaces. This topic was motivated by the analogous projectional structure of Banach spaces…
Compact retractions and Schauder decompositions in Banach spaces
Petr Hájek, Rubén Medina
In our note we show the very close connection between the existence of a Finite Dimensional Decomposition (FDD for short) for a separable Banach space and the existence of a Li…
Projecting Lipschitz functions onto spaces of polynomials
Petr Hájek, Tommaso Russo
The Banach space of -homogeneous polynomials on the Banach space can be naturally embedded in the Banach space of real-valued Lipsc…