Proof of Milman's theorem on extension of M-basic sequence

• Autorzy: Plichko A.
• Języki publikacji: EN

Abstrakty

EN

We prove Milman's theorem on the extension, in a given direction, of M-basic sequence to M-basis in a separable Banach space.

Słowa kluczowe

EN

quasicomplement; Markushevich basis

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 1
• Strony: 127--129
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Plichko A.

• Cracow University of Technology, Institute of Mathematics, ul. Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

• [1] Milman V. D., Geometric theory of Banach spaces. Part I: The theory of basis and minimal systems, Russ. Math. Surv. 25 (1970) 3, 111-170.
• [2] Singer I., Bases in Banach spases, II, Berlin e.a., Springer-Verlag 1981.
• [3] Terenzi P., On bounded and total biorthogonal systems spanning given subspaces. Rend. Accad. Naz. Lincei. 67 (1979), 1-11.