Duality in the space of regulated functions and the play operator

• Autores: P. Krejci, Martin Brokate
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 243, Nº 4, 2003, pág. 667
• Idioma: inglés
• DOI: 10.1007/s00209-003-0563-6
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• Resumen

  • As a new weak convergence concept motivated originally by singular perturbation problems, we investigate the wbo-convergence in the space of regulated functions with values in a Hilbert space. Using a generalization of the Tvrdý Representation Theorem for bounded linear functionals on the space of regulated functions, we establish the relationship between the weak and the wbo-convergences. The classical play operator from the mathematical theory of hysteresis is used as an important tool in the analysis.