Geometric characterization of L₁-spaces

• Autorzy: Normuxammad Yadgorov , Mukhtar Ibragimov , Karimbergen Kudaybergenov
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to a description of all real strongly facially symmetric spaces which are isometrically isomorphic to L₁-spaces. We prove that if Z is a real neutral strongly facially symmetric space such that every maximal geometric tripotent from the dual space of Z is unitary, then the space Z is isometrically isomorphic to the space L₁(Ω,Σ,μ), where (Ω,Σ,μ) is an appropriate measure space having the direct sum property.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 219
• Numer: 2
• Strony: 97-107

Daty

wydano

2013

Twórcy

autor

Normuxammad Yadgorov

• National University of Uzbekistan, Vuzgorodok, 100174, Tashkent, Uzbekistan

autor

Mukhtar Ibragimov

• Karakalpak State University, 230113 Nukus, Uzbekistan

autor

Karimbergen Kudaybergenov

• Karakalpak State University, 230113 Nukus, Uzbekistan

Identyfikatory

DOI

10.4064/sm219-2-1