Sum and product of certain BK spaces and matrix transformations between these spaces

Author: Bruno de Malafosse¹

Source: Acta Mathematica Hungarica, Volume 104, Number 3, 2004 , pp. 241-263(23)

Publisher: Springer

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Abstract:

We deal with the sum and the product of particular BK spaces and give necessary and sufficient conditions to have w() + w() = w₊(). Some results on matrix transformations mapping the space w() + w() into a given BK space are also given. This study generalizes some results obtained in [7] and [8].

Keywords: matrix transformations; infinite linear system; first-difference operator; Banach algebra with identity

Document Type: Research article

DOI: 10.1023/B:AMHU.0000036285.01402.ea

Affiliations: 1: Lmah Université du Havre, Bp 4006 I.U.T Le Havre 76610 Le Havre, France

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