Measurable Functionals and Finitely Absolutely Continuous Measures on Banach Spaces

• Дата: 2000
• Автори: Dorogovtsev, A. A., Дороговцев, А. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4526
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the structure of orthogonal polynomials in the space L 2(B, μ) for a probability measure μ on a Banach space B. These polynomials are described in terms of Hilbert–Schmidt kernels on the space of square-integrable linear functionals. We study the properties of functionals of this sort. C...