Square Roots of Self Adjoint Operators on $\[{\Pi _{\rm{k}}}\]$
Citation：
Yan Shaozong.Square Roots of Self Adjoint Operators on $\[{\Pi _{\rm{k}}}\]$[J].Chinese Annals of Mathematics B,1982,3(1):19~28
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Authors：
Yan Shaozong;
Abstract：
Let $\[{\Pi _{\rm{k}}}\]$ be a Pontrjagin space.Suppose that A is a self adjoint operator on $\[{\Pi _{\rm{k}}}\]$.The self adjoint operator A_1 on $\[{\Pi _{\rm{k}}}\]$ is called a self adjoint square root of A,if $\[A_1^2 = A\]$.
The aim of this paper is to discuss the existence and uniqueness of square root of a self adjoint operator on $\[{\Pi _{\rm{k}}}\]$。We get the main results as follows.
