Geodesic
The Set of Finite Operators is Nowhere Dense
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 320-326

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A bounded linear operator A on a complex, separable, infinite dimensional Hilbert space is called finite if for each . It is shown that the class of all finite operators is a closed nowhere dense subset of 
Herrero, Domingo A. The Set of Finite Operators is Nowhere Dense. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 320-326. doi: 10.4153/CMB-1989-046-4
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     author = {Herrero, Domingo A.},
     title = {The {Set} of {Finite} {Operators} is {Nowhere} {Dense}},
     journal = {Canadian mathematical bulletin},
     pages = {320--326},
     year = {1989},
     volume = {32},
     number = {3},
     doi = {10.4153/CMB-1989-046-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-046-4/}
}
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