3 papers
math.FA2025
Approximation property in terms of Lipschitz maps via tensor product approach
Arindam Mandal
This article explores the extension of the classical approximation property and its variants to the nonlinear framework of Lipschitz operator theory. Building on Grothendieck's ten…
math.FA2025
Projection from space of \emph{two-Lipschitz} operators onto the space of Bilinear maps
Arindam Mandal
In this article, we establish the existence of a norm-one projection from the space of all \emph{two-Lipschitz} operators onto the space of all bounded bilinear operators under cer…
math.FA2025
A Proper Closed Subspace of the Lipschitz Dual Containing the Linear Dual
Arindam Mandal
Motivated by classical results of Lindenstrauss and recent developments by Karn and Mandal, we investigate quotient spaces of the form , where i…