arXiv:math/0505524 Abstract

arXiv:math/0505524 [math.CA]Abstract References Reviews Resources

Reverses of the Triangle Inequality in Banach Spaces

Published 2005-05-25Version 1

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.

Comments: 48 pages

Categories: math.CA, math.FA

Subjects: 26D15, 46B05, 46C05

Keywords: banach spaces, discrete generalised triangle inequality, complex numbers, hilbert spaces, vector-valued integrals

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