Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
نویسندگان
چکیده
منابع مشابه
New operators through measure of non-compactness
In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...
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chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...
15 صفحه اولHausdorff measure
Here, instead of taking a σ-algebra as given and then defining a measure on this σ-algebra (namely, on the measurable sets), we take an outer measure as given and then define measurable sets using this outer measure. Carathéodory’s theorem states that the collection M of ν-measurable sets is a σ-algebra and that the restriction of ν to M is a complete measure. Suppose that (X, ρ) is a metric sp...
متن کاملThe Measure of Non-compactness of a Disjointness Preserving Operator
Let E and F be Banach lattices and assume E∗ has no atoms. Let T : E → F be a norm bounded disjointness preserving operator from E into F . Then β(T ) = α(T ) = ‖T‖e = ‖T‖.
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Background To our knowledge, there is no valid and comprehensive questionnaire that considers attitude toward oocyte donation (OD). Therefore this study has aimed to design and develop a tool entitled attitude toward donation-oocyte (ATOD-O) to measure attitude toward OD. MaterialsAndMethods This methodological, qualitative research was undertaken on 15 infertile cases. In addition, we performe...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2019
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-019-9570-8