On two problems concerning Eberlein compacta

نویسندگان

چکیده

Abstract We discuss two problems concerning the class Eberlein compacta, i.e., weakly compact subspaces of Banach spaces. The first one deals with preservation some classes scattered compacta under continuous images. second concerns known problem existence nonmetrizable spaces without zero-dimensional closed subspaces. show that such is consistent . also it each space weight $$> \omega _1$$ >ω1 contains a subspace.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Universality of Uniform Eberlein Compacta

We prove that if μ+ < λ = cf(λ) < μא0 for some regular μ > 2א0 , then there is no family of less than μא0 c-algebras of size λ which are jointly universal for c-algebras of size λ. On the other hand, it is consistent to have a cardinal λ ≥ א1 as large as desired and satisfying λ<λ = λ and 2λ + > λ++, while there are λ++ c-algebras of size λ+ that are jointly universal for calgebras of size λ+. ...

متن کامل

On two problems concerning the Zariski topology of modules

Let $R$ be an associative ring and let $M$ be a left $R$-module.Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, t...

متن کامل

On Two Problems concerning Linear Transformations In

T n "0 We shall denote by Cf and C$ the closed linear manifolds spanned by { f}o and {T*'g}o, respectively; f , g being elements in H. This study is devoted to two general problems concerning the transformations T and T* which we shall call the extinction problem and the closure problem. We shall say that T has an extinction theorem if, for every f # o, it is true that the manifold Cj contains ...

متن کامل

On Two Problems concerning Topological Centers

Let Γ be an infinite discrete group and βΓ its Čech-Stone compactification. Using the well known fact that a free ultrafilter on an infinite set is nonmeasurable, we show that for each element p of the remainder βΓ \ Γ, left multiplication Lp : βΓ → βΓ is not Borel measurable. Next assume that Γ is abelian. Let D ⊂ l(Γ) denote the subalgebra of distal functions on Γ and let D = Γ = |D| denote t...

متن کامل

on two problems concerning the zariski topology of modules

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...

متن کامل

ذخیره 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: Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas

سال: 2021

ISSN: ['1578-7303', '1579-1505']

DOI: https://doi.org/10.1007/s13398-021-01059-7