Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 247-253
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L. P. Vlasov. “Suns” and geometric properties of the unit sphere in a Banach space. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 247-253. http://geodesic.mathdoc.fr/item/TIMM_1998_5_a17/
@article{TIMM_1998_5_a17,
author = {L. P. Vlasov},
title = {{\textquotedblleft}Suns{\textquotedblright} and geometric properties of the unit sphere in {a~Banach} space},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {247--253},
year = {1998},
volume = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMM_1998_5_a17/}
}
TY - JOUR
AU - L. P. Vlasov
TI - “Suns” and geometric properties of the unit sphere in a Banach space
JO - Trudy Instituta matematiki i mehaniki
PY - 1998
SP - 247
EP - 253
VL - 5
UR - http://geodesic.mathdoc.fr/item/TIMM_1998_5_a17/
LA - en
ID - TIMM_1998_5_a17
ER -
%0 Journal Article
%A L. P. Vlasov
%T “Suns” and geometric properties of the unit sphere in a Banach space
%J Trudy Instituta matematiki i mehaniki
%D 1998
%P 247-253
%V 5
%U http://geodesic.mathdoc.fr/item/TIMM_1998_5_a17/
%G en
%F TIMM_1998_5_a17
In a Banach space, even such simple objects as two-point sets have approximative properties greatly depending on the geometric structure of its unit sphere. A characterization of spcices (abstract and some concrete – $C(Q)$, $G(Q)*$, $L^1(\mu)$ and $L^{\infty}(\mu))$ is given in which every two-point set is an $\alpha$-sun (or a $\gamma$-sun).
