In this note, we study some algebraic properties such as unitariness, normality, additive inverse law, forward order law, backward order law and absorption law for Cayley transform of operators and operator matrices on the Hilbert space.

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Cayley Transform of Operators on the Hilbert Space

  • Pabitra Kumar Jena,
  • Badal Sahoo

摘要

In this note, we study some algebraic properties such as unitariness, normality, additive inverse law, forward order law, backward order law and absorption law for Cayley transform of operators and operator matrices on the Hilbert space.