most citedMultiplicatively spectrum-preserving and norm-preserving maps between invertible groups of commutative Banach algebras

18 citations · 22 across the 6 of their papers we have counts for

collaborators

9 papers

math.OA2011★ 1 cited

Isometries between groups of invertible elements in -algebras

Osamu Hatori, Keiichi Watanabe

In this paper we describe all surjective isometries between open subgroups of the groups of invertible elements in unital -algebras.

math.FA2011

New criteria for equivalence of locally compact abelian groups

Osamu Hatori

If an open subgroup of the group of the invertible measures on a LCA group is isometric to another, then the correspoinding underlying LCA groups are topologically isomorphic to ea…

math.FA2011

Multiplicative isometries on the Smirnov class

Osamu Hatori, Yasuo Iida

The forms of surjective multiplicative isometries from the Smirnov class on the ball and the polydisk are given.

math.FA2009

A local Mazur-Ulam theorem

Osamu Hatori

We prove a local version of the Mazur-Ulam theorem.

math.FA2009★ 1 cited

Linear extensions of isometries between groups of invertible elements in Banach algebras

Osamu Hatori

We show that if is an isometry (as metric spaces) from an open subgroup of the invertible group of a unital Banach algebra onto an open subgroup of the invertible…

math.FA2009

An algebraic property of an isometry between the groups of invertible elements in Banach algebras

Osamu Hatori

We show that if is an isometry (as metric spaces) between the invertible groups of unital Banach algebras, then is extended to a surjective real-linear isometry up to trans…