Regards sur le problème des rotations de Mazur.
Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces
2000 Mathematics Subject Classification: Primary 46E15, 54C55; Secondary 28B20.For weakly compact subsets of Hilbert spaces K, we study the existence of totally disconnected spaces L, such that C(K) is isomorphic to C(L). We prove that the space C(BH ) admits a Pełczyński decomposition and we provide a starshaped weakly compact K, subset of BH with non-empty interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected.Research partially supported by EPEAEK program “Pythagoras”....
Regular hexagons in normed spaces and a theorem of Walter Benz.
Regular inductive limits of K-spaces.
A well-known result for bounded sets in inductive limits of locally convex spaces is the following: If each of the constituent spaces En are Fréchet spaces and E is the inductive limit of the spaces En, then each bounded subset of E is bounded in some En iff E is locally complete. Using DeWilde's localization theorem, we show here that the completeness of each En and the local completeness of E may be replaced with the conditions that the spaces En are all webbed K-spaces and E is locally Baire,...
Regular maximal monotone operators and the sum theorem.
Regular methods of summability in some locally convex spaces
Suppose that is a Fréchet space, is a regular method of summability and is a bounded sequence in . We prove that there exists a subsequence of such that: either (a) all the subsequences of are summable to a common limit with respect to ; or (b) no subsequence of is summable with respect to . This result generalizes the Erdös-Magidor theorem which refers to summability of bounded sequences in Banach spaces. We also show that two analogous results for some -locally convex spaces...
Regularity conditions and absolute continuity for vector measures.
Regularity of Banach lattice valued martingales
Regularization of star bodies by random hyperplane cut off
We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.
Regulated domains and Bergman type projections.
Reiteration and a Wolff theorem for interpolation methods defined by means of polygons
We prove a reiteration theorem for interpolationmethods defined by means of polygons, and a Wolff theorem for the case when the polygon has 3 or 4 vertices. In particular, we establish a Wolff theorem for Fernandez' spaces, which settles a problem left over in [5].
Réitération de modèles étalés
Relation between fixed point and asymptotical center of nonexpansive maps.
Relation between order and topology in vector spaces. The completion of locally (O)-Symmetric spaces
Relations between limit-point and Dirichlet properties of second-order difference operators.
Relations d'ordre dans les Banach : quelques applications à l'analyse
Relative rotundity in Lp(X).
Remark on our paper "On bases in Banach spaces" (Studia Math. 170 (2005), 147-171)
Remark on spline unconditional bases in
Remarks and examples concerning distance ellipsoids
We provide for every 2 ≤ k ≤ n an n-dimensional Banach space E with a unique distance ellipsoid such that there are precisely k linearly independent contact points between and . The corresponding result holds for spaces with non-unique distance ellipsoids as well. We construct n-dimensional Banach spaces E such that one distance ellipsoid has precisely k linearly independent contact points and all other distance ellipsoids have less than k-1 such points.