An application of Kwapień's theorem to the investigation of the structure of Lo-space

• Autorzy: Mehemmed A. A.
• Języki publikacji: EN

Abstrakty

EN

Our aim in this paper is to use Kwapien's theorem to show that the space LQ is prime. This was a longstanding open question posed by Pelczynski which was resolved by Kalton [3]. The proof given here uses some new lemmas which can be of interest.

Słowa kluczowe

EN

Kwapień's theorem; Banach space; endomorphism

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 3
• Strony: 593--598
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Mehemmed A. A.

• Warsaw University of Technology, Institute of Mathematics, Plac Politechniki 1, 00-661 Warsaw, Poland
• The University of El-Fateh, P.O.Box 13611, Tripoli, Libya

Bibliografia

• [1] Α. Α. Mehemmed, Kwapień's theorem, Master of Science thesis, University of South Carolina, U.S.A., 1983.
• [2] A. A. Mehemmed, Algebraic proofs of Kwapień and Lamperti theorems, Demonstratio Math. 32 (1999), 401-412.
• [3] N. J. Kalton, The endomorphisms of Lp (0 ≤ ρ ≤ 1), Indiana Univ. Math. J. vol. 27, no. 1 (1978).
• [4] A. Pełczyński, Projections in certain Banach spaces, Studia Mathematica, T. XIX (1960).