Constructing a Lipschitz retraction from $\mathcal {B}(\mathcal {H})$ onto $\mathcal {K}(\mathcal {H})$
Constructing a Lipschitz retraction from $\mathcal {B}(\mathcal {H})$ onto $\mathcal {K}(\mathcal {H})$
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构建从 $mathcal {B}(mathcal {H})$ 到 $mathcal {K}(mathcal {H})$ 的 Lipschitz 缩回
DOI：
10.1090/proc/14536
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发表时间：
2019
影响因子：
1
通讯作者：
Ryotaro Tanaka
中科院分区：
文献类型：
--
作者：
Naoto Komuro;Kichi-Suke Saito;Ryotaro Tanaka;Ryotaro Tanaka
证明了vonNeumann代数的每一个范数闭真双边理想都是代数的Lipschitz收缩核。特别地，存在从复Hilbert空间上的所有有界线性算子代数到由所有紧算子组成的理想上的Lipschitz收缩。引用
It is shown that each norm closed proper two-sided ideal of a von Neumann algebra is a Lipschitz retract of the algebra. In particular, there exists a Lipschitz retraction from the algebraof all bounded linear operators on a complex Hilbert spaceonto the idealconsisting of all compact operators. References