Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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AN EXTENDED SPACE $\hat{D}$L(S) ASSOCIATED WITH $\mathcal{H}$L(S)

  • Received : 2010.11.03
  • Published : 2012.05.31
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Abstract

Let $S$ be a upper triangular operator such that $M^L_S:\mathcal{U}_2{\rightarrow}\mathcal{U}_2$ defined by $M^L_S(F)=SF$ is a contraction. Then there exists an unitary linear system whose state space is the extension space $\tilde{D}_L$(S) associated with $\mathcal{H}_L$(S).

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References

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