Reducibility of a Class of Operator Functions to Block-Diagonal Form
Reducibility of a Class of Operator Functions to Block-Diagonal Form
复制标题
DOI：
10.1023/b:matn.0000009008.68588.b3
复制
发表时间：
2003-11
影响因子：
0.6
通讯作者：
G. Kurina;G. Martynenko
中科院分区：
文献类型：
--
作者：
G. Kurina;G. Martynenko
，(1)其中，对于所有−∞< t<+∞，线性、有界和连续（在t中）算子A (t)、S (t)和W (t)作用于实数Hilbert空间；算子符号上的星号表示伴随算子，S (t)和W (t)是对称非负算子。如果存在一个连续算子函数V (t)∈L (X)且对所有t∈K都是同构的，则在紧集K上连续且值在L (X)中的算子函数D (t)是有条件（X−,X+）可约的
,(1) where, for all−∞< t<+∞, linear, bounded, and continuous (in t) operators A (t), S (t), and W (t) act in a real Hilbert space; the star on the operator symbol denotes the adjoint operator, and S (t) and W (t) are symmetric nonnegative operators. An operator function D (t) continuous on a compact set K, with values in L (X) is said to be conditionally (X−, X+)-reducible if there exists a continuous (in t) operator function V (t)∈ L (X) which is an isomorphism for all t∈ K and