Some algebra ideals of regular operators

• Autorzy: Bayram E. B. , Wnuk W.

Identyfikatory

DOI

10.14708/cm.v53i2.788

• Języki publikacji: EN

Abstrakty

EN

We investigate relationships joining the order continuity of a norm in a Banach lattice and some composition properties of L-weakly and M-weakly compact operators. Our results improve Proposition 3.6.16 from [5].

Słowa kluczowe

EN

L-weakly compact operator; M-weakly compact operator; order continuous norm

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol. 53, No. 2
• Strony: 127--133
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Bayram E. B.

• Namik Kemal University, Faculty of Science and Arts, Mathematics Department, Tekirdag, Turkey

autor

Wnuk W.

• Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61–614 Poznan, Poland

Bibliografia

• [1] Y.A. Abramovich, C.D. Aliprantis, An Invitation to Operator Theory, Graduate Studies in Mathematics vol 50, Amer. Math. Soc., 2002. Zbl 1022.47001
• [2] C.D. Aliprantis, O. Burkinshaw, Positive Operators, Academic Press, New York-London, 1985. Zbl 0608.47039
• [3] P.G. Dodds, D.H. Fremlin, Compact operators in Banach lattices, Israel J. Math. 34 (1979), 287-320. Zbl 0438.47042
• [4] P. Meyer-Nieberg, Über klassen schwach kompakter operatoren in Banachverbänden, Math. Z. 138 (1974), 145-159. Zbl 0291.47020
• [5] P. Meyer-Nieberg, Banach Lattices, Springer-Verlag, Berlin Heidelberg New York, 1991. Zbl 0743.46015
• [6] W. Wnuk, Banach Lattices with Order Continuous Norms, Advenced Topics in Mathematics, Polish Scientific Publishers PWN, Warsaw, 1999. Zbl 0948.46017