Reverses of the Triangle Inequality in Banach Spaces

2005/05/25 by Sever Silvestru Dragomir, Dragomir, Sever Silvestru
Mathematics · #26D15 #46B05 #46C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:26D15 #msc:46B05 #msc:46C05

paper · pdf · doi:10.48550/arxiv.math/0505524

48 pages

arxiv created 2005/05/25 · arxiv updated 2009/12/01

Abstract

Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.

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