m at h . FA ] 1 2 Ju l 2 01 2 THE NON - LINEAR GEOMETRY OF BANACH SPACES AFTER NIGEL KALTON
نویسنده
چکیده
This is a survey of some of the results which were obtained in the last twelve years on the non-linear geometry of Banach spaces. We focus on the contribution of the late Nigel Kalton.
منابع مشابه
The Non-linear Geometry of Banach Spaces After
This is a survey of some of the results which were obtained in the last twelve years on the non-linear geometry of Banach spaces. We focus on the contribution of the late Nigel Kalton.
متن کاملThe Nonlinear Geometry of Banach Spaces
We survey some of the recent developments in the nonlinear theory of Banach spaces, with emphasis on problems of Lipschitz and uniform homeomorphism and uniform and coarse embeddings of metric spaces.
متن کاملar X iv : m at h / 92 01 23 0 v 1 [ m at h . FA ] 2 4 Ju l 1 99 1 Banach Spaces with Property ( w ) Denny
In this paper, we give two examples, both of which answer the question in the negative. Both examples are James type spaces considered in [1]. They both possess properties stronger than Property (w). The first example has the property that every operator from the space into the dual is compact. In the second example, both the space and its dual have Property (w). In the last section, we conside...
متن کاملUNCONDITIONALITY IN SPACES OF m-HOMOGENEOUS POLYNOMIALS
Let E be a Banach space with an unconditional basis. We prove that for m 2 the Banach space P(m E) of all m-homogeneous polynomials on E has an unconditional basis if and only if E is finite dimensional. This answers a problem of S. Dineen.
متن کاملar X iv : m at h / 99 10 16 0 v 1 [ m at h . FA ] 2 8 O ct 1 99 9 POLYNOMIAL APPROXIMATION ON CONVEX SUBSETS OF
Let K be a closed bounded convex subset of R; then by a result of the first author, which extends a classical theorem of Whitney there is a constant wm(K) so that for every continuous function f on K there is a polynomial φ of degree at most m− 1 so that |f(x)− φ(x)| ≤ wm(K) sup x,x+mh∈K |∆h (f ;x)|. The aim of this paper is to study the constant wm(K) in terms of the dimension n and the geomet...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012