On Some Bk Spaces

نویسنده

  • BRUNO DE MALAFOSSE
چکیده

where B=(bn)n≥1 is a one-columnmatrix andX the unknown, see [2, 3, 5, 6, 7, 9]. Equation (1.2) can be written in the form AX = B, where AX = (An(X))n≥1. In this paper, we will also consider A as an operator from a sequence space into another sequence space. A Banach space E of complex sequences with the norm ‖‖E is a BK space if each projection Pn : X → PnX is continuous. A BK space E is said to have AK (see [8]) if for every B = (bn)n≥1, B = ∑∞ n=1bmem, that is, ∥∥∥∥∥ ∞ ∑

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تاریخ انتشار 2002