## Abstract J. Arazy [1] pointed out that there is a similarity between functions defined on the torus and infinite matrices. In this paper we discuss and develop in the framework of matrices Fejer's theory for Fourier series.
A matricial analogue of Fejer's theory for different types of convergence
✍ Scribed by Đorđe Krtinić
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 122 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We describe the space of operators on a Hilbert space with the summable Fourier expansion and prove that this space does not depend on the kind of summability method. We consider the same problem in the spaces of operators with respect to unitarily invariant norms. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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