標題: Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy K?kol,Wies?aw Kubi?,Manuel López-Pellicer Book 20111st edition Sprin [打印本頁] 作者: 服裝 時間: 2025-3-21 19:24
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書目名稱Descriptive Topology in Selected Topics of Functional Analysis讀者反饋學科排名
作者: encomiast 時間: 2025-3-21 23:33 作者: COW 時間: 2025-3-22 02:32
Metrizability of Compact Sets in the Class ,, on open .??.. We show (following Cascales and Orihuela) that every precompact set in an lcs in the class . is metrizable. This general result covers many already known theorems for (.)-spaces, (.)-spaces and dual metric spaces.作者: 磨碎 時間: 2025-3-22 06:54 作者: glans-penis 時間: 2025-3-22 09:57
Compact Spaces Generated by Retractions,pact spaces obtained by limits of continuous retractive sequences. We also introduce the notion of a retractional skeleton, dual to projectional skeletons in Banach spaces. The last section contains an overview of Eberlein compact spaces with some classical results and examples relevant to the subjects of previous chapters.作者: 樂章 時間: 2025-3-22 14:33 作者: 樂章 時間: 2025-3-22 18:04 作者: Hot-Flash 時間: 2025-3-22 21:57 作者: FICE 時間: 2025-3-23 03:07 作者: 無節(jié)奏 時間: 2025-3-23 05:39
https://doi.org/10.1007/978-1-349-20213-3 appeared several times in the previous chapters. Its space of continuous functions turns out to be a canonical example for several topological and geometric properties of Banach spaces. More complicated compact lines provide examples related to Plichko spaces.作者: 箴言 時間: 2025-3-23 12:41
K-analytic and Quasi-Suslin Spaces,via, about lcs’s admitting resolutions consisting of Banach discs and their relations with the closed graph theorems. We present Hurewicz and Alexandrov’s theorems as well as the Calbrix–Hurewicz theorem, which yields that a regular analytic space . is not .-compact if and only if . contains a closed subset homeomorphic to ?..作者: FATAL 時間: 2025-3-23 16:54 作者: 字謎游戲 時間: 2025-3-23 19:21
Spaces of Continuous Functions over Compact Lines, appeared several times in the previous chapters. Its space of continuous functions turns out to be a canonical example for several topological and geometric properties of Banach spaces. More complicated compact lines provide examples related to Plichko spaces.作者: frugal 時間: 2025-3-24 01:52
Entrepreneurship in the FinTech Industry.). is weakly bounded, strongly bounded, or equicontinuous, respectively. These characterizations help us produce a (.)-space ..(.) that is not a (.)-space, solving a basic and long-standing open question.作者: single 時間: 2025-3-24 04:28 作者: Tdd526 時間: 2025-3-24 07:34 作者: 躲債 時間: 2025-3-24 13:15
Weakly Realcompact Locally Convex Spaces, example due to Pol showing that there exists a Banach space .(.) over a compact scattered space . such that .(.) is weakly Lindel?f and not WCG is presented. We show (after Amir and Lindenstrauss) that every nonseparable reflexive Banach space contains a complemented separable subspace. Several consequences are provided.作者: chuckle 時間: 2025-3-24 18:00
1389-2177 s.Can serve a supplementary text in course focusing on selec"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear 作者: Preamble 時間: 2025-3-24 20:19
Forecasts for the FinTech Market in Germany,(due to Drewnowski) was motivated by the Arias–De Reina–Valdivia–Saxon theorem about non-Baire dense hyperplanes in Banach spaces. We provide a large class of weakly analytic metrizable and separable Baire tvs that are not analytic (clearly such spaces are necessarily not locally convex).作者: phlegm 時間: 2025-3-25 02:44 作者: geriatrician 時間: 2025-3-25 04:16 作者: fertilizer 時間: 2025-3-25 08:46
Towards a Social Science of Naturesh a variant of the property .. (due to Webb), called property . (i.e., sequential closure of any vector subspace is sequentially closed), and characterize both (.)-spaces and (.)-spaces with the property . as being of the form ., ., or .×., where . is metrizable.作者: 使顯得不重要 時間: 2025-3-25 12:15 作者: 泄露 時間: 2025-3-25 16:06
Descriptive Topology in Selected Topics of Functional Analysis978-1-4614-0529-0Series ISSN 1389-2177 Series E-ISSN 2197-795X 作者: CBC471 時間: 2025-3-25 23:35 作者: Ingredient 時間: 2025-3-26 00:29 作者: 熱心 時間: 2025-3-26 06:55 作者: erythema 時間: 2025-3-26 12:14
978-1-4614-3003-2Springer Science+Business Media, LLC 2011作者: dry-eye 時間: 2025-3-26 12:43
Entrepreneurship in the FinTech Industryons to closed graph theorems and .(.) spaces. We also provide the first proof in book form of a remarkable result of Saxon (extending earlier results of Arias de Reyna and Valdivia), that states that, under Martin’s axiom, every lcs containing a dense hyperplane contains a dense non-Baire hyperplane作者: mighty 時間: 2025-3-26 19:41 作者: acquisition 時間: 2025-3-27 00:27 作者: 個人長篇演說 時間: 2025-3-27 04:37 作者: Blood-Vessels 時間: 2025-3-27 07:23 作者: A精確的 時間: 2025-3-27 11:07
M. Isabel Santaulària i Capdevilatheorem of Christensen stating that a metrizable and separable space . is .-compact if and only if ..(.) is analytic is proved. We show that the analyticity of ..(.) for any . implies that . is .-compact (Calbrix’s theorem). We show that ..(.) is K-analytic-framed in ?. if and only if ..(.) admits a作者: 敵意 時間: 2025-3-27 15:14 作者: 攀登 時間: 2025-3-27 18:41
Wolfgang Van Den Daele,Wolfgang Krohnd only if (.′,.(.′,.)) is Lindel?f if and only if (.,.(.,.′)) has countable tightness. We show that every quasibarrelled space in the class . has countable tightness both for the weak and the original topologies. This extends a classical result of Kaplansky for a metrizable lcs. Although (.)-spaces 作者: 向下 時間: 2025-3-28 00:33 作者: Deference 時間: 2025-3-28 03:20 作者: 攤位 時間: 2025-3-28 06:37 作者: 違反 時間: 2025-3-28 13:23
https://doi.org/10.1007/978-1-349-20213-3short. In particular, we present Nakhmanson’s theorem stating that if . is a compact line such that ..(.) is a Lindel?f space, then . is second-countable. We also discuss the separable complementation property in the context of compact lines..Compact lines are relatively easy to investigate, yet the作者: 吼叫 時間: 2025-3-28 17:22
Philip H. Dybvig,Stephen A. Ross particular, we discuss the class of Valdivia compact spaces and its subclasses: Corson and Eberlein compact spaces. We discuss a general class of compact spaces obtained by limits of continuous retractive sequences. We also introduce the notion of a retractional skeleton, dual to projectional skele作者: CAPE 時間: 2025-3-28 20:05
,Fréchet–Urysohn Spaces and Groups,r each .?. and each . there exists a sequence in . converging to?.). The main result states that every sequentially complete Fréchet–Urysohn lcs is a Baire space. Since every infinite-dimensional Montel (.)-space . is nonmetrizable and sequential, the following question arises: Is every Fréchet–Urysohn space in the class . metrizable?作者: 隨意 時間: 2025-3-29 02:53
,Tightness and Distinguished Fréchet Spaces, its strong dual has countable tightness. This approach to studying distinguished Fréchet spaces leads to a rich supply of (.)-spaces whose .. duals are quasi-Suslin but not K-analytic. The small cardinals . and . will be used to improve the analysis of K?the’s echelon nondistinguished Fréchet space?..(.).作者: 元音 時間: 2025-3-29 05:43
Jerzy K?kol,Wies?aw Kubi?,Manuel López-PellicerPresents numerous results that have previously only appeared in journal publications.Includes several newly developed and unpublished results.Can serve a supplementary text in course focusing on selec作者: 上流社會 時間: 2025-3-29 10:01 作者: stratum-corneum 時間: 2025-3-29 15:20
Entrepreneurship in the FinTech IndustryThe first chapter contains an overview of the material contained in the book, with several historical comments and links to the bibliography.作者: 啞巴 時間: 2025-3-29 15:33
SupTech Practices by Chinese RegulatorsIn this chapter, we continue the study of web-compact spaces. A?subclass of web-compact spaces called strongly web-compact, is introduced, and a closed graph theorem for such spaces is provided. We prove that an own product of a strongly web-compact space need not be web-compact.作者: capillaries 時間: 2025-3-29 21:32 作者: 戰(zhàn)勝 時間: 2025-3-30 00:02
Final Girls, Feminism and Popular CultureThis chapter presents unified and direct proofs of Pfister, Cascales and Orihuela and Valdivia’s theorems about metrizability of precompact sets in (.)-spaces, (.)-spaces and dual metric spaces, respectively. The proofs do not require the typical machinery of quasi-Suslin spaces, upper semicontinuous compact-valued maps and so on.作者: 愛得痛了 時間: 2025-3-30 07:23
Towards a Social Science of NatureIn this chapter, the class of Banach spaces having the property?(.) (isolated by Corson) is studied. This property provides a large subclass of Banach spaces . whose weak topology need not be Lindel?f. We collect some results of Corson, Pol, Frankiewicz, Plebanek and Ryll-Nardzewski.作者: 損壞 時間: 2025-3-30 10:25 作者: 破譯密碼 時間: 2025-3-30 14:48 作者: 泄露 時間: 2025-3-30 17:49 作者: 階層 時間: 2025-3-30 21:03
A Three-Space Property for Analytic Spaces,In this chapter, we show that analyticity is not a three-space property. We prove, however, that a metrizable tvs . is analytic if it contains a complete locally convex analytic subspace . such that the quotient ./. is analytic. We reprove (using Corson’s example) that the Lindel?f property is not a three-space property.作者: tympanometry 時間: 2025-3-31 01:39 作者: 字形刻痕 時間: 2025-3-31 08:27
,Corson’s Property (,) and Tightness,In this chapter, the class of Banach spaces having the property?(.) (isolated by Corson) is studied. This property provides a large subclass of Banach spaces . whose weak topology need not be Lindel?f. We collect some results of Corson, Pol, Frankiewicz, Plebanek and Ryll-Nardzewski.作者: fatuity 時間: 2025-3-31 11:06
Banach Spaces with Many Projections,In this chapter, we discuss Banach spaces that have a rich family of norm-one projections onto separable subspaces. One of the tools, coming from logic, is the concept of an elementary submodel.作者: Jejune 時間: 2025-3-31 14:21 作者: Cryptic 時間: 2025-3-31 19:35
The Rise of BigTechs in the Financial Market and strong duals of (.)-spaces. We study trans-separable spaces and show that a tvs with a resolution of precompact sets is trans-separable. This is applied to prove that precompact sets are metrizable in any uniform space whose uniformity admits a?.-basis.作者: 我邪惡 時間: 2025-3-31 23:02 作者: 銼屑 時間: 2025-4-1 02:45
Descriptive Topology in Selected Topics of Functional Analysis作者: Amylase 時間: 2025-4-1 08:12
