Spectral synthesis in some spaces of bounded continuous functions

Aharon Atzmon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Spectral synthesis in the topology of bounded uniform convergence on compact sets is proved for some spaces of bounded continuous functions on the real line ℛ. These spaces include among others the space of continuous functions of bounded variation on ℛ and the space of bounded functions on the real line which are linear combinations of convex functions which satisfy Lipshitz condition of order one uniformly on ℛ.

Original languageEnglish
Pages (from-to)277-284
Number of pages8
JournalPacific Journal of Mathematics
Volume74
Issue number2
DOIs
StatePublished - Feb 1978
Externally publishedYes

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