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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 4 / 2010 | |||||||
Article: |
FIXED POINT AND INTERPOLATION POINT SET OF A POSITIVE LINEAR OPERATOR ON C(D). Authors: IOAN A. RUS. |
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Abstract: Let be a compact convex subset with nonempty interior. If A : C(D) → C(D) is a positive linear operator with or then we establish some relations between the mixed-extremal point set of D and the interpolation point set of A. Our results include some well known results (see I. Raşa, Positive linear operators preserving linear functions, Ann. T. Popoviciu Seminar of Funct. Eq. Approx. Conv., 7(2009), 105-109) and the proofs are directly and elementarely. Key words and phrases. linear positive operator, fixed point set, interpolation point set, mixed-extremal point set. |
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