Книга Gâteaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces

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This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.Dieser Band behandelt schwache Asplund-Räume, die zu Zeit Beachtung in der Literatur finden. Nichtseparable Banachräume, Renormierung und Differenzierbarkeit werden gleichermaßen diskutiert. In bemerkenswert pädagogisch wertvoller Weise führt der Autor auch den Nicht-Fachmann in die Problematik ein.

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