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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 3, Pages 79–83
DOI: https://doi.org/10.4213/faa3464 (Mi faa3464) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

On an Orthogonality Equation in Normed Spaces

P. Wójcik

Pedagogical University of Cracow
Full-text PDF (136 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa3464
Abstract: The aim of this paper is to give an answer to the question, posed by Alsina, Sikorska, and Tomás, as to whether each norm derivative preserving mapping is necessarily linear.
Keywords: norm derivative, quotient space, functional equation.
Received: 07.04.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 3, Pages 224–227
DOI: https://doi.org/10.1007/s10688-018-0231-6
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: P. Wójcik, “On an Orthogonality Equation in Normed Spaces”, Funktsional. Anal. i Prilozhen., 52:3 (2018), 79–83; Funct. Anal. Appl., 52:3 (2018), 224–227
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa3464
  • https://doi.org/10.4213/faa3464
  • https://www.mathnet.ru/eng/faa/v52/i3/p79
    • This publication is cited in the following 5 articles:
    1. K. Gryszka, P. Wójcik, “Generalized orthogonality equations in finite-dimensional normed spaces”, Ann. Funct. Anal., 14:2 (2023), 41  crossref  mathscinet
    2. P. Wojcik, “When are maps preserving semi-inner products linear?”, Aequ. Math., 96:3 (2022), 669–676  crossref  mathscinet  isi
    3. R. Łukasik, “A functional equation with biadditive functions”, Annales Mathematicae Silesianae, 36:2 (2022), 193  crossref  mathscinet
    4. R. Lukasik, P. Wojcik, “Functions preserving the biadditivity”, Results Math., 75:3 (2020), 82  crossref  mathscinet  zmath  isi
    5. Paweł Wójcik, Ulam Type Stability, 2019, 453  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:331
    Full-text PDF :40
    References:57
    First page:20
     
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