Isometries and Hermitian Operators on Zygmund Spaces

Botelho, Fernanda

Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 241-249

Résumé

In this paper we characterize the isometries of subspaces of the little Zygmund space. We show that the isometries of these spaces are surjective and represented as integral operators. We also show that all hermitian operators on these settings are bounded

Détail

DOI : 10.4153/CMB-2014-071-5

Mots-clés : 46E15, 47B15, 47B38, Zygmund spaces, the little Zygmund space, Hermitian operators, surjective linear isometries, generators of one-parameter groups of surjective isometries

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