Orlicz–Pettis Theorem for λ-multiplier convergent operator series

Publisher： Cambridge University Press

E-ISSN： 1755-1633|75|2|247-252

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.75, Iss.2, 2007-04, pp. : 247-252

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Abstract

We show that the λ-multiplier convergence of operator series depends completely upon the AK property of the sequence space λ, and thus present a lot of new important theorems.

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