On analytic diameters and analytic centers of compact sets
نویسندگان
چکیده
منابع مشابه
Compact composition operators on certain analytic Lipschitz spaces
We investigate compact composition operators on ceratin Lipschitzspaces of analytic functions on the closed unit disc of the plane.Our approach also leads to some results about compositionoperators on Zygmund type spaces.
متن کاملAnalytic Mappings on Hyperfinite Sets
Let S and T be hyperfinite sets in an N]-saturated nonstandard universe. The following are equivalent: m 1*1 ~ l (l) rff ~ • • (ii) There is a bijection from 5 onto T whose graph is Borel (over the internal subsets of S x T). This follows from somewhat more general results about analytic partial functions on hyperfinite sets, the proofs of which use Choquet's theorem on the capacitibility of an...
متن کاملK-analytic versus Ccm-analytic Sets in Nonstandard Compact Complex Manifolds
It is shown that in an elementary extension of a compact complex manifold M , the K-analytic sets (where K is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if M is essentially saturated. In particular, this is the case for compact Kähler manifolds.
متن کاملVaught’s conjecture on analytic sets
In each of these case the result was shortly or immediately after extended to analytic sets. For this purpose let us write TVC(G,Σ∼ 1 1) if whenever G acts continuously on a Polish space X and A ⊂ X is Σ∼ 1 1 (or analytic) then either |A/G| ≤ א0 or there is a perfect set of orbit inequivalent points in A. Thus we have TVC(G,Σ∼ 1 1) for each of the group in the class mentioned in 0.1-0.4 above. ...
متن کاملAnalytic centers and repelling inequalities
The new concepts of repelling inequalities, repelling paths, and prime analytic centers are introduced. A repelling path is a generalization of the analytic central path for linear programming, and we show that this path has a unique limit. Furthermore, this limit is the prime analytic center if the set of repelling inequalities contains only those constraints that ‘‘shape’’ the polytope. Becau...
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: Transactions of the American Mathematical Society
سال: 1981
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1981-0621983-3