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An isometrically universal Banach space with a monotone Schauder basis

Garbulińska-Wȩgrzyn, Joanna · 2014 · arxiv_oai
arXiv (OAI) · Papers · 2014
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46m1546m40functional-analysisprimary
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[1402.2660] An isometrically universal Banach space with a monotone Schauder basis Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Functional Analysis arXiv:1402.2660 (math) This paper has been withdrawn by Joanna Garbulińska-Węgrzyn [Submitted on 11 Feb 2014 ( v1 ), last revised 10 Apr 2026 (this version, v3)] Title: An isometrically universal Banach space with a monotone Schauder basis Authors: Joanna Garbulińska-Wȩgrzyn View a PDF of the paper titled An isometrically universal Banach space with a monotone Schauder basis, by Joanna Garbuli\'nska-W\c{e}grzyn No PDF available, click to view other formats Abstract: We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property. Comments: This paper contains an error in the proof Subjects: Functional Analysis (math.FA) MSC classes: Primary: 46B04. Secondary: 46M15, 46M40 Cite as: arXiv:1402.2660 [math.FA] (or arXiv:1402.2660v3 [math.FA] for this version) https://doi.org/10.48550/arXiv.1402.2660 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Joanna Garbulińska-Węgrzyn [ view email ] [v1] Tue, 11 Feb 2014 21:04:36 UTC (9 KB) [v2] Wed, 12 Mar 2014 20:40:30 UTC (8 KB) [v3] Fri, 10 Apr 2026 18:17:54 UTC (1 KB) (withdrawn) Full-text links: Access Paper: View a PDF of the paper titled An isometrically universal Banach space with a monotone Schauder basis, by Joanna Garbuli\'nska-W\c{e}grzyn Withdrawn No license for this version due to withdrawn Current browse context: math.FA < prev | next > new | recent | 2014-02 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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