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Notes on interpolation by the real method between c(t, a0) and g(t, a1)
Authors:
- Mieczysław Mastyło
Abstract
Let A be a Banach space and let T be a compact Hausdorff space. We denote by C(T, A) the Banach space of all A-valued continuous functions defined on T endowed with the supremum norm. We show that if T is infinite and (Ao, Ai) is a Banach couple with Ao continuously embedded in Ai, then the interpolation space (C(T, Ao), C(T, Ai))α, p is equal to C(T, (Ao, Ai), p)α if and only if Ao is closed in Ai. © 1988 American Mathematical Society.
- Record ID
- UAM1a3b5fe17e8e42b2aefefd2db8481c61
- Author
- Journal series
- Proceedings of the American Mathematical Society, ISSN 0002-9939
- Issue year
- 1988
- Vol
- 102
- Pages
- 945-948
- ASJC Classification
- ;
- DOI
- DOI:10.1090/S0002-9939-1988-0934872-3 opening in a new tab
- Language
- en English
- Score (nominal)
- 25
- Score source
- journalList
- Publication indicators
- = 0; = 0; : 2014 = 1.093; : 2006 = 0.513 (2) - 2007=0.611 (5)
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM1a3b5fe17e8e42b2aefefd2db8481c61/
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perishopening in a new tab system.