A counterexample in operator theory
Publicacions Matemàtiques (1993)
- Volume: 37, Issue: 2, page 335-338
- ISSN: 0214-1493
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topCórdoba, Antonio. "A counterexample in operator theory." Publicacions Matemàtiques 37.2 (1993): 335-338. <http://eudml.org/doc/41512>.
@article{Córdoba1993,
abstract = {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 ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.},
author = {Córdoba, Antonio},
journal = {Publicacions Matemàtiques},
keywords = {Operadores lineales; Operadores acotados; Schatten-von Neumann classes},
language = {eng},
number = {2},
pages = {335-338},
title = {A counterexample in operator theory},
url = {http://eudml.org/doc/41512},
volume = {37},
year = {1993},
}
TY - JOUR
AU - Córdoba, Antonio
TI - A counterexample in operator theory
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 2
SP - 335
EP - 338
AB - 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 ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p < 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.
LA - eng
KW - Operadores lineales; Operadores acotados; Schatten-von Neumann classes
UR - http://eudml.org/doc/41512
ER -
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