J4 ›› 2011, Vol. 46 ›› Issue (4): 103-107.
• Articles •
LI Dan, MENG Bin
The paper introduces the definitions of continuous operator-valued frame disjointness, strong disjointness strong complement and discusses their properties in Hilbert spaces. Then disjointness-preseving operators, strong disjointness-preseving operators are introduced. It proves that unitary operators,invertible operators are strong disjointness-preseving operators and lower bounded operators, isometric operators are disjointness-preseving operators.
continuous operator-valued frames; disjointness; disjointness-preseving operator
LI Dan, MENG Bin. Disjointness for continuous operator-valued frames in Hilbert spaces[J].J4, 2011, 46(4): 103-107.
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