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A LIMITING CASE OF ULTRASYMMETRIC SPACES

Part of: Normed linear spaces and Banach spaces; Banach lattices Linear function spaces and their duals Special classes of linear operators

Published online by Cambridge University Press:  01 June 2016

Pedro Fernández-Martínez  and
Teresa Signes
Pedro Fernández-Martínez
Affiliation:
Departamento de Matemáticas, Facultad de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30071 Espinardo (Murcia), Spain email pedrofdz@um.es
Teresa Signes
Affiliation:
Departamento de Matemáticas, Facultad de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30071 Espinardo (Murcia), Spain email tmsignes@um.es
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Abstract

We study ultrasymmetric spaces in the case in which the fundamental function belongs to a limiting class of quasiconcave functions. In the process, we study limiting cases of $J$ interpolation spaces and establish new $J$ – $K$ identities as well as a reiteration theorem for these limiting interpolation methods.

MSC classification

Primary: 46B70: Interpolation between normed linear spaces 46E30: Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 47B38: Operators on function spaces (general)

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Type
Research Article
Information
Mathematika , Volume 62 , Issue 3 , 2016 , pp. 929 - 948
Copyright
Copyright © University College London 2016 

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