generalized quasi-banach sequence spaces and measures of noncompactness
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ID: 242717
2013
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Abstract
Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces. For these spaces, new measures of noncompactness are also defined, related to the Hausdorff measure of noncompactness. As an application, compact sets in s – ψ -interpolation spaces of a quasi-Banach couple are studied.
| Reference Key |
silva2013anaisgeneralized
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|---|---|
| Authors | ;EDUARDO B. SILVA;DIOCESAR L. FERNANDEZ;LUDMILA NIKOLOVA |
| Journal | hypertension (dallas, tex : 1979) |
| Year | 2013 |
| DOI |
10.1590/S0001-37652013000200002
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