arXiv subjects

Hiroyuki Takagi

Publications and source records attributed to Hiroyuki Takagi.

2 recordsLinked to original sources

arXiv2018

Compact homomorphisms between algebras of $C(K)$-valued Lipschitz functions

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 those homomorphisms.

math.FA↗

arXiv2009

Polynomially spectrum-preserving maps between commutative Banach algebras

Let $A$ and $B$ be unital semi-simple commutative Banach algebras. In this paper we study two-variable polynomials $p$ which satisfy the following property: a map $T$ from $A$ onto $B$ such that the equality \[ σ(p(Tf,Tg))=σ(p(f,g)), \quad f,g \in A \] holds is an algebra isomorphism.

math.FA↗