Summability Theory And Its Applications

Normed and Paranormed Sequence Spaces

Author(s): Feyzi Basar

Pp: 15-32 (18)

DOI: 10.2174/978160805452311201010015

* (Excluding Mailing and Handling)

Abstract

In the present chapter, certain normed and paranormed sequence spaces are studied, and the α-,fi β-, γ- and continuous duals of the spaces l∞, c, c0 and lp of all bounded, convergent, null and absolutely p-summable sequences are determined together with some other sequence spaces isomorphic to them. Additionally, a table of the α-,fi β-, γ- duals of certain normed sequence spaces is given.


Keywords: Metric sequence spaces, normed sequence spaces, K-space, FK- space, BK-space, AK-, AB-, AD- and KB-properties, Schauder basis, paranormed sequence spaces, α-, β-, γ- and continuous duals of a sequence space.

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