A bounded linear extension operator for L^(2,p)(R^2)
نویسندگان
چکیده
منابع مشابه
A matrix LSQR algorithm for solving constrained linear operator equations
In this work, an iterative method based on a matrix form of LSQR algorithm is constructed for solving the linear operator equation $mathcal{A}(X)=B$ and the minimum Frobenius norm residual problem $||mathcal{A}(X)-B||_F$ where $Xin mathcal{S}:={Xin textsf{R}^{ntimes n}~|~X=mathcal{G}(X)}$, $mathcal{F}$ is the linear operator from $textsf{R}^{ntimes n}$ onto $textsf{R}^{rtimes s}$, $ma...
متن کاملDecomposition of the spectrum of a bounded linear operator
1σ(T ) is defined to be the set of λ ∈ C such that v 7→ Tv − λv is not a bijection. It is a fact that if T ∈ B(H) and v 7→ Tv − λv is a bijection then it is an element of B(H). That it is linear can be proved quickly. The fact that it is bounded is proved using the open-mapping theorem, which states that a surjective bounded linear map from one Banach space to another is an open map, from which...
متن کاملINTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
The object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. Relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.
متن کاملa matrix lsqr algorithm for solving constrained linear operator equations
in this work, an iterative method based on a matrix form of lsqr algorithm is constructed for solving the linear operator equation $mathcal{a}(x)=b$ and the minimum frobenius norm residual problem $||mathcal{a}(x)-b||_f$ where $xin mathcal{s}:={xin textsf{r}^{ntimes n}~|~x=mathcal{g}(x)}$, $mathcal{f}$ is the linear operator from $textsf{r}^{ntimes n}$ onto $textsf{r}^{rtimes s}$, $ma...
متن کاملA Linear Extension Operator for Whitney Fields on Closed O-minimal Sets
We construct a natural continuous linear extension operator for CWhitney fields (p finite) on closed o-minimal subsets, different from the Whitney’s one [W], based on the geometry of these sets. Introduction. By an o-minimal subset of an Euclidean space R we will mean a subset definable in any o-minimal structure on the ordered field of real numbers R (see [D, DM] for the definition and fundame...
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: Annals of Mathematics
سال: 2013
ISSN: 0003-486X
DOI: 10.4007/annals.2013.178.1.3