Geodesic
Normal Decompositions of Operator Spaces over Locally Convex Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 78-80

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The normal decomposition of operator spaces into inductive scales of locally convex spaces in accordance with the classification of operators by their normal indices is considered. The canonical isomorphisms of operator spaces over Banach space are generalized to operators in locally convex spaces.
Keywords: locally convex space, inductive scale of spaces, normal index, operator space, canonical isomorphism. 
@article{FAA_2002_36_4_a8,
     author = {I. V. Orlov},
     title = {Normal {Decompositions} of {Operator} {Spaces} over {Locally} {Convex} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {78--80},
     publisher = {mathdoc},
     volume = {36},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a8/}
}
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I. V. Orlov. Normal Decompositions of Operator Spaces over Locally Convex Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 78-80. http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a8/