NOTE ON EXTREME POINTS IN MARCINKIEWICZ FUNCTION SPACES

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KAMINSKA A.; PARRISH A.M.

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2010 | Volume:4 | Issue:1 Page(s): 1-12

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Title

NOTE ON EXTREME POINTS IN MARCINKIEWICZ FUNCTION SPACES

Author(s)

KAMINSKA A. | PARRISH A.M. | Issue Writer Certificate

Keywords

MARCINKIEWICZ FUNCTION SPACES

EXTREME POINTS

Abstract

We show that the unit ball of the subspace M0W of ordered continuous elements of MW has no EXTREME POINTS, where MW is the Marcinkiewicz function space generated by a decreasing weight function w over the interval (0,¥) and W(t) = òt0 w, t Î (0,1). We also present here a proof of the fact that a function f in the unit ball of MW is an extreme point if and only if f*= w.

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APA: Copy

KAMINSKA, A., & PARRISH, A.M.. (2010). NOTE ON EXTREME POINTS IN MARCINKIEWICZ FUNCTION SPACES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(1), 1-12. SID. https://sid.ir/paper/316916/en

Vancouver: Copy

KAMINSKA A., PARRISH A.M.. NOTE ON EXTREME POINTS IN MARCINKIEWICZ FUNCTION SPACES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(1):1-12. Available from: https://sid.ir/paper/316916/en

IEEE: Copy

A. KAMINSKA, and A.M. PARRISH, “NOTE ON EXTREME POINTS IN MARCINKIEWICZ FUNCTION SPACES,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 1, pp. 1–12, 2010, [Online]. Available: https://sid.ir/paper/316916/en

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