On Haar’s theorem concerning Chebychev approximation problems having unique solutions
نویسندگان
چکیده
منابع مشابه
A strong convergence theorem for solutions of zero point problems and fixed point problems
Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces.
متن کاملIssues Concerning the Approximation Underlying the Spectral Representation Theorem
In many important textbooks the formal statement of the Spectral Representation Theorem is followed by a process version, usually informal, stating that any stationary stochastic process f (t), t 2 T g is the limit in quadratic mean of a sequence of processes fS(n, t), t 2 T g, each consisting of a finite sum of harmonic oscillations with stochastic weights. The natural issues, whether the appr...
متن کاملDe Branges’ Theorem on Approximation Problems of Bernstein Type
The Bernstein approximation problem is to determine whether or not the space of all polynomials is dense in a given weighted C0-space on the real line. A theorem of de Branges characterizes non-density by existence of an entire function of Krein class being related with the weight in a certain way. An analogous result holds true for weighted sup-norm approximation by entire functions of exponen...
متن کاملRemarks concerning Finitely Generated Semigroups Having Regular Sets of Unique Normal Forms
Properties such as automaticity, growth and decidability are investigated for the class of finitely generated semigroups which have regular sets of unique normal forms. Knowledge obtained is then applied to the task of demonstrating that a class of semigroups derived from free inverse semigroups under certain closure operations is not automatic. 2000 Mathematics subject classification: primary ...
متن کاملOn 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 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: Proceedings of the American Mathematical Society
سال: 1956
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1956-0079672-3