Geodesic
On Linear Isometries on Strongly Regular Non-Archimedean Köthe Spaces
Journal of convex analysis, Tome 26 (2019) no. 1, pp. 325-34
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We study when two strongly regular Köthe spaces K(A) and K(B) are isometrically isomorphic. Next we determine all linear isometries on a strongly regular Köthe space K(A). Finally we prove that any linear isometry on a nuclear strongly regular Köthe space K(A) is surjective. The most known and important examples of nuclear strongly regular Köthe spaces are the generalized power series spaces Df(a,r).
Classification : 46S10, 47S10, 46A35
Mots-clés : Non-Archimedean Köthe spaces, isometrical isomorphy, Schauder basis 
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     author = {W. Sliwa and A. Ziemkowska},
     title = {On {Linear} {Isometries} on {Strongly} {Regular} {Non-Archimedean} {K\"othe} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {325--34},
     year = {2019},
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W. Sliwa; A. Ziemkowska. On Linear Isometries on Strongly Regular Non-Archimedean Köthe Spaces. Journal of convex analysis, Tome 26 (2019) no. 1, pp. 325-34. http://geodesic.mathdoc.fr/item/JCA_2019_26_1_JCA_2019_26_1_a17/