Translation preserving operators on locally compact abelian groups

M. Mortazavizadeh; R. Raisi Tousi

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arXiv · 1910.13514

Translation preserving operators on locally compact abelian groups

M. Mortazavizadeh·R. Raisi Tousi

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Abstract

We study translation preserving operators, that is operators commuting with translations by a closed subgroup of a locally compact abelian group. We show that there is a one to one correspondence between these operators and range operators. Furthermore, we obtain a necessary condition for a translation preserving operator to be Hilbert Schmidt or of finite trace in terms of its range operator.

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BibTeX RIS

M. Mortazavizadeh, R. Raisi Tousi. 2019-10-20. Translation preserving operators on locally compact abelian groups. https://arxiv.org/abs/1910.13514

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