Non-separable Banach spaces with non-meager Hamel basis
نویسندگان
چکیده
منابع مشابه
Non - separable Banach spaces with non - meager Hamel basis
We show that an infinite-dimensional complete linear space X has: • a dense hereditarily Baire Hamel basis if |X| ≤ c; • a dense non-meager Hamel basis if |X| = κ = 2 for some cardinal κ. According to Corollary 3.4 of [BDHMP] each infinite-dimensional separable Banach space X has a non-meager Hamel basis. This is a special case of Theorem3.3 of [BDHMP], asserting that an infinite-dimensional Ba...
متن کاملEvolution inclusions in non separable Banach spaces
We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
متن کاملNon Dentable Sets in Banach Spaces with Separable Dual
A non RNP Banach space E is constructed such that E∗ is separable and RNP is equivalent to PCP on the subsets of E. The problem of the equivalence of the Radon-Nikodym Property (RNP) and the Krein Milman Property (KMP) remains open for Banach spaces as well as for closed convex sets. A step forward has been made by Schachermayer’s Theorem [S]. That result states that the two properties are equi...
متن کاملLfc Bumps on Separable Banach Spaces
In this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function.
متن کاملDescriptive Classification Theory and Separable Banach Spaces
Three Notions of Classification Consider your favorite class ofmathematical structures, be it groups, modules, measure-preserving transformations, C-algebras, Lie groups, smooth manifolds, or something completely different. With some probability, the classification problem for these objects, that is, the problem of determining the structures up to some relevant notion of isomorphism, is, or has...
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: Studia Mathematica
سال: 2008
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm189-1-3