Some operator inequalities of the schwarz type
Some operator inequalities of the schwarz type
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DOI：
10.1016/s0001-8708(74)80004-6
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发表时间：
1974-02
影响因子：
1.7
通讯作者：
E. Lieb;M. Ruskai
中科院分区：
文献类型：
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作者：
E. Lieb;M. Ruskai
我们的主要结果是定理2，它给出了一类正算子映射的不等式。我们首先提出的定理1，实际上是定理2的一个特例。然而，定理一是定理二的最简单和最容易理解的形式，因此，我们宁愿从它的直接证明开始。在证明定理2之后，我们展示了它如何应用于几个众所周知的映射，例如，部分轨迹和投影映射。
Our main result is Theorem 2 which gives an inequality for a large class of positive operator maps. Theorem 1, which we present first, is really a special case of Theorem 2. Theorem 1 is, however, Theorem 2 in its simplest and most accessible form, and, for that reason, we prefer to begin with a direct proof of it. After proving Theorem 2, we show how it applies to several well-known maps, eg, partial traces and projection maps.