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デジタル記事
全国の図書館
- 要約等<jats:p> Let τ be a faithful semi-finite normal trace on a semi-finite von Neumann algebra, and f(t) be a convex function with f(0) = 0. The trace Jensen inequality states τ(f(a* ...... ≤ τ(a* f(x)a) for a contraction a and a self-adjoint operator x. Under certain strict convexity assumption on f(t), we will ......tudy when this inequality reduces to the equality. </jats:p>
- 参照TRACE JENSEN INEQUALITY FOR SELF-ADJOINT OPERATORS IN SEMI-FINITE VON NEUMANN ALGEBRAS
デジタル記事
インターネットで読める全国の図書館
- 件名46L51 46L10 47A63 15A42 equality condition Jensen inequality operator convex function semi-finite von Neumann algebra $ \tau......rable operator trace
- 関連情報Kyushu University Preprint Series in Mathematics || 2007-2 || p1-22 http://www.math.kyushu-...
- 掲載誌Kyushu University Preprint Series in Mathematics ; 2007-2
デジタル記事
インターネットで読める全国の図書館
- 要約等Let $ \tau $ be a faithful semi-finite normal trace on a semi-finite von Neu-mann algeb......$ f(t) $ be a convex function with $ f(0) = 0 $. The trace Jensen inequality states $ \tau(......au(a^*f(x)a) $ for a contraction $ a $ and a self-adjoint operator $ x $. Under certain strict convexity assumption on $ f(t) $ we wi......tudy when this inequality reduces to the equality.
- 件名46L51 46L10 47A63 15A42 equality condition Jensen inequality operator convex function semi-finite von Neumann algebra $ \tau......rable operator trace
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