An analog of Wiener's theorem for infinite-dimensional Banach spaces

作者：Zagorodnyuk A V^*; Mitrofanov M A

来源：Mathematical Notes, 2015, 97(1-2): 179-189.

DOI：10.1134/S0001434615010204

• Wiener algebra
• Banach space
• Wiener's theorem
• Fourier series
• convolution algebra
• maximal ideal
• Banach algebra
• Aron-Berner extension

In this paper, we study various generalizations of the classical Wiener algebra on a Banach space and prove analogs of Wiener's theorem on the invertibility of elements of such algebras.

• 出版日期2015-1