Document Type
Lecture
Publication Date
1-25-2017
Abstract
We illustrate in this talk how the theory of Archimedean vector lattices is a convenient apparatus for shedding new light on classical inequalities. In particular, we introduce simple proofs of the Hölder and Minkowski inequalities in Archimedean vector lattices and use these results to improve related inequalities existing in the literature. We also provide an identity involving semi-inner-product-like maps from the Cartesian square of a vector space into an Archimedean vector lattice, from which a generalization of the classical Cauchy–Schwarz inequality immediately follows.
Relational Format
presentation
Recommended Citation
Schwanke, Chris, "Some Variants of the Classical Inequalities in Vector Lattices" (2017). Colloquium. 11.
https://egrove.olemiss.edu/math_colloquium/11
