2 papers
math.FA2020
On the second dual space of Banach space of vector-valued little Lipschitz functions
Shinnosuke Izumi
Let \(X\) be a compact metric space and \(E\) be a Banach space. \(\lip (X, E)\) denotes the Banach space of all \(E\)-valued little Lipschitz functions on \(X\). We show that \(\l…
math.FA2018
Compact homomorphisms between algebras of -valued Lipschitz functions
Shinnosuke Izumi, Hiroyuki Takagi
We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of thos…