Rademacher functions in BMO

• Autorzy: Sergey V. Astashkin , Mikhail Leibov , Lech Maligranda
• Języki publikacji: EN

Abstrakty

EN

The Rademacher sums are investigated in the BMO space on [0,1]. They span an uncomplemented subspace, in contrast to the dyadic $BMO_{d}$ space on [0,1], where they span a complemented subspace isomorphic to l₂. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pełczyński type alternative with l₂ and c₀ spaces is proved.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B42: Banach lattices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 205
• Numer: 1
• Strony: 83-100

Daty

wydano

2011

Twórcy

autor

Sergey V. Astashkin

• Department of Mathematics and Mechanics, Samara State University, Akad. Pavlova 1, 443011 Samara, Russia

autor

Mikhail Leibov

• Horton Point LLC, 1180 Avenue of the Americas, New York, NY 10036, U.S.A.

autor

Lech Maligranda

• Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden

Identyfikatory

DOI

10.4064/sm205-1-6