On Euclidean algebra of hermitian operators on a quaternionic Hilbert space

摘要

We solve the problem of finding the best possible constant of ultraprimeness for the special class of Euclidean algebra called algebra of hermitian operators on a quaternionic Hilbert space. More precisely, we prove that for algebra of hermitian operators, equipped with spectral norm, the best possible constant of ultraprimeness is 1/2 (c) 2005 Elsevier Inc. All rights reserved.