Open AccessKottman’s constant, packing constant and Riesz angle in some classes of K ¨othe sequence spaces
Author(s) -
Boyan Zlatanov
Publication year - 2019
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2019.01.12
Subject(s) - mathematics , lorentz transformation , sequence (biology) , constant (computer programming) , ball (mathematics) , norm (philosophy) , mathematical analysis , pure mathematics , lorentz space , physics , chemistry , quantum mechanics , biochemistry , computer science , political science , law , programming language
We have found a sufficient condition in order that the Kottman constant to be equal to the Riesz angle for Kothe ¨ sequence spaces. We have found the ball packing constant in weighted Orlicz sequence spaces, endowed with Luxemburg or p–Amemiya norm. We have calculated the Riesz angle for Musielak–Orlicz, Nakano, weighted Orlicz, Orlicz, Orlicz–Lorentz, Lorentz and Cesaro sequence spaces.