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Více informací o knize The Dual of L (X,L, ), Finitely Additive Measures and Weak Convergence

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Anotace knihy

In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space L p (X,L,) with L q (X,L,), where 1/p+1/q=1, as long as 1 p<. However, L (X,L,) cannot be similarly described, and is instead represented as a class of finitely additive measures. This book provides a reasonably elementary account of the representation theory of L (X,L,) , examining pathologies and paradoxes, and uncovering some surprising consequences. For instance, a necessary and sufficient condition for a bounded sequence in L (X,L,) to be weakly convergent, applicable in the one-point compactification of X, is given. With a clear summary of prerequisites, and illustrated by examples including L ( R n ) and the sequence space l , this book makes possibly unfamiliar material, some of which may be new, accessible to students and researchers in the mathematical sciences.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: The Dual of L (X,L, ), Finitely Additive Measures and Weak Convergence
• Podnázev: A Primer
• Autor: John Toland
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 99
• EAN: 9783030347314
• ID: 24865156
• Nakladatelství: Springer, Berlin
• Hmotnost: 186 g
• Rozměry: 235 × 155 × 7 mm
• Datum vydání: 07. February 2020

Oblíbené z jiného soudku

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