Teori Dilasi dalam Ruang Hilbert dan Ruang Banach
Keywords:
Operator-Valued Measure, Positive Maps, Naimark's Dilation Theorem, Hilbert Dilation Space, Banach Dilation SpaceAbstract
This paper tells about dilation theory with a Hilbert space as an underlying space and associations between some of dilation theory consist of completely positive maps, contraction and operator-valued measure. In addition also tells about dilation theory with a Banach space as an underlying space.
ABSTRAK
Pada artikel ini dibahas teori dilasi dengan ruang Hilbert sebagai ruang pokok dan kaitan antara beberapa teori dilasi yang terdiri dari pemetaan positif lengkap, kontraksi dan ukuran bernilai operator. Selain itu dibahas juga teori dilasi dengan ruang Hilbert sebagai ruang pokok.
References
Arveson, W. (2009). Dilation Theory Yesterday and Today, A glimpse at Hilbert Space Operator, 99-123.
Bunce, J.W. (1987). Review Completely Bounded Maps and Dilations by Vern I Paulsen. New York: American Mathematical Society.
Conway, J. B. (2000). A course in Opeator Theory. Rhode Island: American Matheatical Society.
Han, D., Larson, D. R., Liu, B., & Lui, R. (2010). Operator-Valued Measure, Dilation, and The Theory of Frames.
Paulsen, V. (2002). Completely Bounded Maps and Operator Algebras. Cambridge: Cambridge University Press.
Stinespring, W. F. (1954). Positive Function on C*-Algebra, 211-216.
