On the existence of non-linear frames

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On the Existence of Non-linear Frames

A stronger version of the notion of frame in Banach space called Strong Retro Banach frame (SRBF) is defined and studied. It has been proved that if X is a Banach space such that X ∗ has a SRBF, then X has a Bi-Banach frame with some geometric property. Also, it has been proved that if a Banach space X has an approximative Schauder frame, then X ∗ has a SRBF. Finally, the existence of a non-lin...

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ژورنال

عنوان ژورنال: Archivum Mathematicum

سال: 2017

ISSN: 0044-8753,1212-5059

DOI: 10.5817/am2017-2-101