Vol. 74, No. 2, 1978

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ISSN: 0030-8730
Spectral synthesis in some spaces of bounded continuous functions

Aharon Atzmon

Vol. 74 (1978), No. 2, 277–284
Abstract

Spectral synthesis in the topology of bounded uniform convergence on compact sets is proved for some spaces of bounded continuous functions on thc 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.

Mathematical Subject Classification 2000
Primary: 43A45
Secondary: 46E15
Milestones
Received: 9 June 1977
Published: 1 February 1978
Authors
Aharon Atzmon