q-concavity and related properties on symmetric sequence spaces |
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| Authors: | Blasco O Signes T |
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| Institution: | (1) Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, E-46100 Burjassot (Valencia), Spain;(2) Departamento de Análisis Matemático, Universidad Complutense de Madrid, E-28040 Madrid, Spain |
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| Abstract: | We introduce a new property between the q-concavity and the lower q-estimate of a Banach lattice and we get a general method to construct maximal symmetric sequence spaces that satisfies this new property but fails to be q-concave. In particular this gives examples of spaces with the Orlicz property but without cotype 2. |
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