Characterization of Frechet spaces with nuclear Kothe quotients
نویسندگان
چکیده
منابع مشابه
Quotients of Bing Spaces
A Bing space is a compact Hausdorff space whose every component is a hereditarily indecomposable continuum. We investigate spaces which are quotients of a Bing space by means of a map which is injective on components. We show that the class of such spaces does not include every compact space, but does properly include the class of compact metric spaces. Our entire development is based on Krasin...
متن کاملQuotients of F-spaces
Let X be a non-locally convex F-space (complete metric linear space) whose dual X' separates the points of X. Then it is known that X possesses a closed subspace N which fails to be weakly closed (see [3]), or, equivalently, such that the quotient space XIN does not have a point separating dual. However the question has also been raised by Duren, Romberg and Shields [2] of whether X possesses a...
متن کاملQuotients of Proximity Spaces
A characterization of the quotient proximity is given. It is used to find necessary and sufficient conditions for every proximity map on a space to be a topological quotient map. It is shown that a separated proximity space is compact iff every /7-map on X with separated range is a proximity quotient map. Introduction. In 1959 Katetov [3] introduced proximity quotient maps. They have since been...
متن کاملDifferentials of Complex Interpolation Processes for Kothe Function Spaces
We continue the study of centralizers on Kothe function spaces and the commutator estimates they generate (see [29]). Our main result is that if X is a super-reflexive Kothe function space then for every real centralizer Q on X there is a complex interpolation scale of Kothe function spaces through X inducing Q as a derivative, up to equivalence and a scalar multiple. Thus, in a loose sense, al...
متن کاملSemigroups on Frechet spaces and equations with infinite delays
where a∈ R,{bi}i=1 is an arbitrary sequence of real numbers, {τi} ∞ i=1 is a strictly increasing sequence of strictly positive reals such that limi→∞τi = ∞ and φ : (−∞,0] −→ R is continuous. For the special case {bi}i=1 ∈ l 1, (1.1) can be uniquely solved for any given φ ∈ BC (−∞,0], the space of all bounded real-valued continuous functions. The proof of this is indicated in Example1.2. Denote ...
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: BIBECHANA
سال: 2014
ISSN: 2382-5340,2091-0762
DOI: 10.3126/bibechana.v11i0.10397