[Download] "On a Property of Pls-Spaces Inherited by Their Tensor Products (Report)" by Krzysztof Piszczek # Book PDF Kindle ePub Free
eBook details
- Title: On a Property of Pls-Spaces Inherited by Their Tensor Products (Report)
- Author : Krzysztof Piszczek
- Release Date : January 01, 2010
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 90 KB
Description
1 introduction The aim of this paper is to investigate when the dual interpolation estimate is inherited by tensor products of PLS-spaces. Basic definitions (e.g. PLS-space, dual interpolation estimate) and properties are collected in Section 2 while Section 3 contains all the main results. We prove the inheritance if e.g. at least one of the spaces is nuclear Frechet--Th. 6 or at least one of them is a PLN-space--Th. 9. According to [14, 21.8.4] not every nuclear Frechet space can be given a PLN-space structure therefore one has to distinguish these two cases.
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