A note on dominant contractions of Jordan algebras
We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1 holds for every n ≥ n_0.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Scientific and Technological Research Council of Turkey
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/ http://irep.iium.edu.my/1594/1/mfstha-tjm%282010%29.pdf |
| Summary: | We consider two positive contractions T, S : L1(A, τ) −→ L1(A, τ) such that T ≤ S, here (A, τ) is a semi-finite JBW-algebra. If there is an n0 ∈ N such that ||S^{n_0} − T^{n_0}|| < 1, we prove that ||S^n − T^n|| < 1
holds for every n ≥ n_0. |
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