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A matricial analogue of Fejer's theory for different types of convergence
Author(s) -
Krtinić Đorđe
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410563
Subject(s) - mathematics , hilbert space , pure mathematics , invariant (physics) , space (punctuation) , banach space , convergence (economics) , fourier series , mathematical analysis , mathematical physics , philosophy , linguistics , economics , economic growth
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)