Generalized quasi-Banach sequence spaces and measures of noncompactness
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.
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| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2013
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000200443 |
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