ON THE RANGE CLOSURE OF AN ELEMENTARY OPERATOR

• 발행 : 2006.11.30

초록

Let $A, B{\in}B(H)$ be Hilbert space contractions, and let ${\Delta}_{AB}$ be the elementary operator ${\Delta}_{AB}:X{\rightarrow}AXB-X$. A number of conditions which are equivalent to '${\Delta}_{AB}$ has closed range' are proved.

참고문헌

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피인용 문헌

1. Various Notions of Orthogonality in Normed Spaces vol.33, pp.5, 2013, https://doi.org/10.1016/S0252-9602(13)60090-9