Cobos, Fernando y Fernandez-Cabrera , Luz y Kuehn, Thomas y Ullrich, Tino (2009) On an Extreme Class of Real Interpolation Spaces. Journal of Functional Analysis , 256 (7). pp. 2321-2366. ISSN 0022-1236
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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022123608005417
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http://www.sciencedirect.com/ | Editorial |
Resumen
We investigate the limit class of interpolation spaces that comes up by the choice θ = 0 in the definition of the real method. These spaces arise naturally interpolating by the J -method associated to the unit square. Their duals coincide with the other extreme spaces obtained by the choice θ = 1. We also study the behavior of compact operators under these two extreme interpolation methods. Moreover, we establish some interpolation formulae for function spaces and for spaces of operators.
Tipo de documento: | Artículo |
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Palabras clave: | Extreme interpolation spaces; Real interpolation; J -functional; K-functional; Interpolation methods; Compact-Operators; Banach-Spaces; Polygons; Extrapolation; Reiteration; Duality; Mathematics associated to polygons; Compact operators; Lorentz–Zygmund function spaces; Spaces of operators |
Materias: | Ciencias > Matemáticas > Análisis matemático |
Código ID: | 14957 |
Depositado: | 24 Abr 2012 11:06 |
Última Modificación: | 06 Feb 2014 10:13 |
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