WebJan 4, 2005 · We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces of countable subsums. As a … Expand. 1. PDF. View 1 excerpt, references background; Save. Alert. Banach spaces of analytic functions. WebTwo different settings of the "completely complemented subspace problem" will be considered: (1) Every subspace of E is 1-completely complemented (an operator space analog of the problem solved by Kakutani). This case will be considered in Sec tion 2. Clearly, in this situation E is 1-Hilbertian. If E is infinite dimensional, it is
arXiv:math/0501048v1 [math.FA] 4 Jan 2005
WebApr 20, 2024 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Webspace E, such that all of its subspaces are 1-completely complemented in E, but which is not 1-homogeneous. Moreover, we will show that, if E is an operator space such that … clickedcallback
Interpolation space - Wikipedia
WebAug 26, 2024 · Generalizing some known linear results, they studied the complementation of the subspace of weakly continuous on bounded sets polynomials in the space of continuous n -homogeneous polynomials. WebIn mathematics, Kolmogorov's normability criterion is a theorem that provides a necessary and sufficient condition for a topological vector space to be normable; that is, for the existence of a norm on the space that generates the given topology. The normability criterion can be seen as a result in same vein as the Nagata–Smirnov metrization … WebFor 0 < θ < 1, the complex interpolation space (X0, X1)θ is the linear subspace of X0 + X1 consisting of all values f ( θ) when f varies in the preceding space of functions, The norm on the complex interpolation space (X0, X1)θ is defined by Equipped with this norm, the complex interpolation space (X0, X1)θ is a Banach space. Theorem. [5] bmw motorcycle tool kit