Each operator in L (lp,lr) (1 ≤ r < p < ∞) is compact.

Grzaslewicz, Ryszard. "Each operator in L (lp,lr) (1 ≤ r &lt; p &lt; ∞) is compact.." Collectanea Mathematica 48.4-5-6 (1997): 539-541. <http://eudml.org/doc/40784>.

@article{Grzaslewicz1997,
abstract = {It is known that each bounded operator from lp → lris compact. The purpose of this paper is to present a very simple proof of this useful fact.},
author = {Grzaslewicz, Ryszard},
journal = {Collectanea Mathematica},
keywords = {Operadores acotados; Operadores compactos; Pruebas; Simplificación; norm ideals},
language = {eng},
number = {4-5-6},
pages = {539-541},
title = {Each operator in L (lp,lr) (1 ≤ r &lt; p &lt; ∞) is compact.},
url = {http://eudml.org/doc/40784},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Grzaslewicz, Ryszard
TI - Each operator in L (lp,lr) (1 ≤ r &lt; p &lt; ∞) is compact.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 539
EP - 541
AB - It is known that each bounded operator from lp → lris compact. The purpose of this paper is to present a very simple proof of this useful fact.
LA - eng
KW - Operadores acotados; Operadores compactos; Pruebas; Simplificación; norm ideals
UR - http://eudml.org/doc/40784
ER -