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Resumen de A counterexample in operator theory

Antonio Córdoba Barba

  • 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)| = ?01 |f(y)| dy for a.e. x Î [0.1], and, nevertheless, ||T||Sp = 8 for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.


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