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On Universal Coefficient Sequences

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Abstract

In this note we consider systems of simultaneous linear equations of the form AiX = Yi; i 2 I; where the Ai; X;and Yi are operators on Hilbert space, and we answer the question of when there exist “universal” coefficient sequences fAigi2 I with the property that for every sequence fYigi2 I there exists a solutionX = XfYi g to the above system.

참고문헌 (3)

  1. "Structure of commutators of operators", 82, pp.112~127 (1965)
  2. "On matrices over the ring of continuous complex valued functions on a Stonian space", 14, pp.322~328 (1963)
  3. "A complete set of unitary invariants for operators generating finite W¤-algebras of type I", pp.1405~1417 (1962)

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