Amsterdam, Noord-Holland, Nederland
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I build technology that empowers crowdfunding ecosystems worldwide.

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Artikelen van Konstantin

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4K volgers

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Ervaring en opleidingen

  • LenderKit

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Licenties en certificaten

Publicaties

  • Properties of lush spaces and applications to Banach spaces with numerical index 1

    Studia Mathematica 190(2):117 – 133

    The concept of lushness was introduced recently as a Banach space property, which ensures that the space has numerical index 1. We prove that for Asplund spaces lushness is actually equivalent to numerical index 1. We prove that every separable Banach space containing an isomorphic copy of c 0 can be renormed equivalently to be lush, and thus to have numerical index 1. The rest of the paper is devoted to the study of lushness just as a property of Banach spaces. We prove that lushness is…

    The concept of lushness was introduced recently as a Banach space property, which ensures that the space has numerical index 1. We prove that for Asplund spaces lushness is actually equivalent to numerical index 1. We prove that every separable Banach space containing an isomorphic copy of c 0 can be renormed equivalently to be lush, and thus to have numerical index 1. The rest of the paper is devoted to the study of lushness just as a property of Banach spaces. We prove that lushness is separably determined, is stable under ultraproducts, and we characterize those spaces of the form X = (R n , ·) with absolute norm such that X-sum preserves lushness of summands, showing that this property is equivalent to lushness of X.

    Andere auteurs
    • Vladimir Kadets
    • Miguel Martin
    • Javier Merí
    Publicatie weergeven

  • Numerical index and duality

    Math. Proc. Cambridge Philos. Soc. 142, no.1, 93-102 (2007)

    We present an example of a Banach space whose numerical index is strictly greater than the numerical index of its dual, giving a negative answer to a question which has been latent since the beginning of the seventies. We also show a particular case in which the numerical index of the space and the one of its dual coincide.

    Andere auteurs
    • Vladimir Kadets
    • Miguel Martin
    • Dirk Werner
    Publicatie weergeven

Projecten

  • Social network for Architects

    - heden

    Archello is a social network for architects, designers and engineers that gives them an opportunity to share their experience and ideas.

    The registered users are able to tell their projects stories, join the projects of others, share the media files and leave feedback for others.

    Moreover the users can extend their professional network by connecting their Facebook and Linkedin accounts.

    Andere bijdragers
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Testscores

  • Brainbench PHP 5.5

    Score: 4.17

    Master level, PHP 5.5
    http://www.brainbench.com/transcript.jsp?pid=5810376

Talen

  • Russian

    Moedertaal of tweetalig

  • Ukrainian

    Moedertaal of tweetalig

  • English

    Volledige professionele vaardigheid

  • Dutch

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Organisaties

  • The Agency Collective

    Member

    - heden

    The best community for agency founders. This badge is in honour of us running a sustainable agency, our ambition to achieve our clients’, our growth as a result of delivering great work for our clients and finally the symbol of good business people.

  • Kharkiv IT Cluster

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    - heden

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