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On an Extreme Class of Real Interpolation Spaces


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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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
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

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