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- W2963753019 abstract "Abstract Let H 1 , … , H n , H be complex Hilbert spaces and A k : H k → H be a bounded linear operator with closed range Ran ( A k ) , k = 1 , … , n . It is known that if A i ⁎ A j is compact for all i ≠ j , then ∑ k = 1 n Ran ( A k ) is closed. We show that if all the products A i ⁎ A j , i ≠ j , are “almost” compact (in a certain sense), then the subspaces Ran ( A 1 ) , … , Ran ( A n ) are essentially linearly independent and their sum is closed." @default.
- W2963753019 created "2019-07-30" @default.
- W2963753019 creator A5005296749 @default.
- W2963753019 date "2014-08-01" @default.
- W2963753019 modified "2023-09-28" @default.
- W2963753019 title "On the closedness of the sum of ranges of operatorsAkwith almost compact productsAi⁎Aj" @default.
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- W2963753019 doi "https://doi.org/10.1016/j.jmaa.2014.02.022" @default.
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