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5 votes
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133 views

A concrete description of the projective tensor product of Lipschitz spaces

$\newcommand{\projtenprod}[2]{#1 \; \hat\otimes_\pi #2}$ $\DeclareMathOperator\Lip{Lip}\DeclareMathOperator\AE{AE}$ $\newcommand{\norm}[1]{\| #1\|}$ $\newcommand{\abs}[1]{| #1|}$ Background Projectiv …
Yury Korolev's user avatar
5 votes
1 answer
198 views

Existence of a Gelfand triple involving the Arens–Eells space (aka Lipschitz free space)

$\DeclareMathOperator\Lip{Lip}\DeclareMathOperator\AE{AE}$Background Gelfand triples. Let $\mathcal B$ be a Banach space, $\mathcal B^*$ its dual space, and $\mathcal H$ a Hilbert space. The triple $( …
Yury Korolev's user avatar
4 votes
0 answers
191 views

Compactness of the unit ball in the space of Radon measures w.r.t. the Kantorovich-Rubinstei...

This question was posted previously but has not attracted any responses so I am repharising it in a slightly different language hoping to reach a wider community Let $(X,d)$ be a pointed metric space …
Yury Korolev's user avatar