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On the range closure of an elementary operator

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Abstract

LetA;B 2 B(H ) be Hilbert space contractions, andlet 4 AB be the elementary operator4 AB :X ! AXB X . Anumber of conditions which are equivalent to \ 4 AB has closedrange" are proved.

참고문헌 (6)

  1. "The single valued extension property and the gener-alized Kato decomposition property", 67(3-4), pp.791~807 (2001)
  2. "Properties which normal operators share with normalderivations and related operators", pp.325~ (1975)
  3. "Range-kernel orthogonality and range closure ofan elementary operator", 143(3), pp.179~187 (2004)
  4. "An Introduction to Local Spectral Theory", 20 (2000), Oxford Univ. Press
  5. "Eigenvalues in the boundary of the numerical range", pp.234~ (1970), A. M. Sinclair
  6. "Orthogonality in Cp classes", 132(4), pp.349~354 (2001)

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