GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES

Geometric constantswhichquantifyvariousgeometricfeaturesofBanachspaces often playrolesinfunctionalanalysis.Inthisthesis,thestudyofgeometric constants willfocusonthe n-th Jamesconstantand n-th VonNeumann-Jordan constant. Theseconstantscanmeasuretheroundnessofthe n-dimensional unit sphere inaBanac...

Full description

Saved in:

Bibliographic Details
Main Author:	Adam
Format:	Theses
Language:	Indonesia
Online Access:	https://digilib.itb.ac.id/gdl/view/55022
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Institut Teknologi Bandung
Language:	Indonesia

id	id-itb.:55022
spelling	id-itb.:550222021-06-12T13:32:30ZGEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES Adam Indonesia Theses discrete Morrey spaces, n-th James constant, n-th Von Neumann- Jordan constant,uniformlynon-`1 n, uniformly n-convex. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/55022 Geometric constantswhichquantifyvariousgeometricfeaturesofBanachspaces often playrolesinfunctionalanalysis.Inthisthesis,thestudyofgeometric constants willfocusonthe n-th Jamesconstantand n-th VonNeumann-Jordan constant. Theseconstantscanmeasuretheroundnessofthe n-dimensional unit sphere inaBanachspaceanddetermineuniformlynon-`1 n property ofthatBanach space. Morespecifically,wewillcomputethetwoconstants’valuefordiscrete Morreyspace.Inthisthesis,wewillshowthat C(n) NJ (`p q (Zd)) = C(n) J (`p q (Zd)) = n where 1 p <q< 1. ThisresultshowsthatdiscreteMorreyspaceisnot uniformly non-`1 n and the n-dimensional unitsphereindiscreteMorreyspaceisnot round atall.TheseresultsalsoshowthatthediscreteMorreyspaceisnotuniformly n-convex.Furthermore,thegeometricbehaviorofdiscreteMorreyspaceissimilar to `1 and `1. text
institution	Institut Teknologi Bandung
building	Institut Teknologi Bandung Library
continent	Asia
country	Indonesia Indonesia
content_provider	Institut Teknologi Bandung
collection	Digital ITB
language	Indonesia
description	Geometric constantswhichquantifyvariousgeometricfeaturesofBanachspaces often playrolesinfunctionalanalysis.Inthisthesis,thestudyofgeometric constants willfocusonthe n-th Jamesconstantand n-th VonNeumann-Jordan constant. Theseconstantscanmeasuretheroundnessofthe n-dimensional unit sphere inaBanachspaceanddetermineuniformlynon-`1 n property ofthatBanach space. Morespecifically,wewillcomputethetwoconstants’valuefordiscrete Morreyspace.Inthisthesis,wewillshowthat C(n) NJ (`p q (Zd)) = C(n) J (`p q (Zd)) = n where 1 p <q< 1. ThisresultshowsthatdiscreteMorreyspaceisnot uniformly non-`1 n and the n-dimensional unitsphereindiscreteMorreyspaceisnot round atall.TheseresultsalsoshowthatthediscreteMorreyspaceisnotuniformly n-convex.Furthermore,thegeometricbehaviorofdiscreteMorreyspaceissimilar to `1 and `1.
format	Theses
author	Adam
spellingShingle	Adam GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
author_facet	Adam
author_sort	Adam
title	GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
title_short	GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
title_full	GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
title_fullStr	GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
title_full_unstemmed	GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES
title_sort	geometric constants of discrete morrey spaces
url	https://digilib.itb.ac.id/gdl/view/55022
_version_	1822274126585266176

GEOMETRIC CONSTANTS OF DISCRETE MORREY SPACES

Similar Items