Sökning: onr:"swepub:oai:DiVA.org:ltu-25946" >
Clarkson type inequ...
Clarkson type inequalities and geometric properties of banach spaces
-
- Klisinska, Anna (författare)
- Luleå tekniska universitet,Pedagogik, språk och Ämnesdidaktik
-
(creator_code:org_t)
- Luleå : Luleå tekniska universitet, 1999
- Engelska 92 s.
-
Serie: Licentiate thesis / Luleå University of Technology, 1402-1757 ; 1999:68
- Relaterad länk:
-
https://ltu.diva-por... (primary) (Raw object)
-
visa fler...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- In this thesis Clarkson's inequalities and their generalizations are the main tools. The technique that can be used to prove Clarkson type inequalities in more dimensions is shown. We also establish Clarkson type inequalities in general Banach spaces and point out the connections between Clarkson's inequalities and the concept of type and cotype. The classical results on the von Neumann-Jordan constant, closely related to Clarkson's inequalities, are shortly presented. The concepts of moduli of convexity and smoothness, which are connected with the geometry of Banach spaces, are discussed. Some equivalent ways of describing modulus of convexity and some properties of this function are formulated. The estimation of the modulus of convexity for L(p)-spaces is presented as well. Finally, several examples of moduli of convexity and smoothness for different spaces are described.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
Nyckelord
- Matematik
- Mathematics
- Mathematics Education
- Matematik och lärande
Publikations- och innehållstyp
- vet (ämneskategori)
- lic (ämneskategori)
Hitta via bibliotek
Till lärosätets databas