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20152026
most citedThe topological classification of spaces of metrics with the uniform convergence topology

1 citations · 1 across the 13 of their papers we have counts for

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math.FA2026

Isometries between the unit spheres of spaces of metrics

Katsuhisa Koshino

Given a topological space , let be the space of bounded continuous pseudometrics on , which is endowed with the sup-norm, and let be the unit sphere of $PM(Z…

math.FA2026

Banach-Stone type theorems on uniformly continuous and lipschitz continuous pseudometrics

Katsuhisa Koshino

In this paper, we shall establish Banach-Stone type theorems on spaces of uniformly continuous and lipschitz continuous pseudometrics.

math.FA2026

Compactness of averaging operators on non-reflexive Lebesgue spaces

Katsuhisa Koshino

Let be a Borel and Borel-regular metric measure space whose closed balls are of positive and finite measure. In this paper, we shall give equivalent conditions for averaging op…

math.FA2025

Isometries between spaces of metrics

Katsuhisa Koshino

Given a metrizable space , denote by the space of continuous bounded pseudometrics on , and denote by the one of continuous bounded admissible met…

math.FA2024

Compactness of averaging operators on Banach function spaces

Katsuhisa Koshino

Let be a Borel metric measure space such that each closed ball is of positive and finite measure. In this paper, we give a sufficient and necessary condition for averaging oper…

math.FA2020

The space consisting of uniformly continuous functions on a metric measure space with the norm

Katsuhisa Koshino

In this paper, we shall show that the space of real-valued uniformly continuous functions on a metric measure space with the norm is homeomorphic to the subspace consisting o…