منابع مشابه
Girths and Flat Banach Spaces
J. J. Schâffer [3] introduced an interesting parameter for normed linear spaces. It is termed girth and is the infimum of the lengths of all centrally symmetric simple closed rectifiable curves which lie in the boundary of the unit ball. More precisely, let X be a Banach space with norm denoted by || -|| and with dim X^2. K curve in X will be a rectifiable geometric curve defined by Busemann [l...
متن کاملBanach Envelopes of Non-locally Convex Spaces
Then Xc is the completion of {X, \\ \\c). Alternatively || ||c is the Minkowski functional of the convex hull of the unit ball. Xc has the property that any bounded linear operator L:X —> Z into a Banach space extends with preservation of norm to an operator L\XC —» Z. The Banach envelope of / (0 < p < 1) is, of course, lx. In 1969, Duren, Romberg and Shields [3] identified the dual space of H_...
متن کاملEmbeddings of Locally Finite Metric Spaces into Banach Spaces
We show that if X is a Banach space without cotype, then every locally finite metric space embeds metrically into X.
متن کاملStructure of Local Banach Spaces of Locally Convex Spaces
1. Introduction and notation. In this paper the word " local " is used in at least three different meanings. Our aim is to study local Banach spaces of Fréchet or other locally convex spaces, and it turns out that it is convenient to use the local theory of Banach spaces for this purpose. Recall that given a locally convex space E and a continuous seminorm p on E the completion of the normed sp...
متن کاملLocally conformal flat Riemannian manifolds with constant principal Ricci curvatures and locally conformal flat C-spaces
It is proved that every locally conformal flat Riemannian manifold all of whose Jacobi operators have constant eigenvalues along every geodesic is with constant principal Ricci curvatures. A local classification (up to an isometry) of locally conformal flat Riemannian manifold with constant Ricci eigenvalues is given in dimensions 4, 5, 6, 7 and 8. It is shown that any n-dimensional (4 ≤ n ≤ 8)...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2009
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-009-0019-1