A counterexample in operator theory
Córdoba, Antonio
Publicacions Matemàtiques, Tome 37 (1993), p. 335-338 / Harvested from Biblioteca Digital de Matemáticas
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The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L2[0,1] such that |Tf(x)| ≤ ∫0 1 |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.

Publié le : 1993-01-01
DMLE-ID : 4024 
@article{urn:eudml:doc:41512,
     title = {A counterexample in operator theory},
     journal = {Publicacions Matem\`atiques},
     volume = {37},
     year = {1993},
     pages = {335-338},
     mrnumber = {MR1249235},
     zbl = {0812.47028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41512}
}

Córdoba, Antonio. A counterexample in operator theory. Publicacions Matemàtiques, Tome 37 (1993) pp. 335-338. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41512/