Local uniform linear convexity with respect to the Kobayashi distance
نویسندگان
چکیده
منابع مشابه
Local Uniform Linear Convexity with Respect to the Kobayashi Distance
Recently, in [4] the author has proved that if B is an open unit ball in a Cartesian product l2× l2 furnished with the lp-norm ‖ · ‖ and kB is the Kobayashi distance on B, then the metric space (B,kB) is locally uniformly linearly convex. In this paper, we introduce this kind of local uniform convexity in bounded convex domains in complex reflexive Banach spaces and we apply this notion in the ...
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15 صفحه اولOn the Uniform Convexity Of
The standard proof of the uniform convexity of L using Clarkson’s [1] or Hanner’s [2] inequalities (see also [4]) is rarely taught in functional analysis classes, in part (the author imagines) because the proofs of those inequalities are quite non-intuitive and unwieldy. We present here a direct proof, cheerfully sacrificing the optimal bounds – for which, see [2, 4]. It fits quite nicely in wi...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2003
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337503212069