On the Schatten Sφ classes.

Simôes, Marilda A.. "On the Schatten Sφ classes.." Extracta Mathematicae 6.1 (1991): 52-54. <http://eudml.org/doc/39921>.

@article{Simôes1991,
abstract = {The Schatten Sp classes, 1 ≤ p ≤ ∞, were introduced and studied in [6] in connection with the problem of finding suitable classes of operators having a well-defined trace.In this paper we consider a generalization Sφ of the Schatten classes Sp obtained in correspondence with opportune, continuous, strictly increasing, sub-additive functions φ: [0,∞) → [0,∞) such that φ(0) = 0 and φ(1) = 1. Our purpose is to study the spaces Sφ of the φ-nuclear operators and to compare their properties with those of the well-known space S1 of nuclear operators.},
author = {Simôes, Marilda A.},
journal = {Extracta Mathematicae},
keywords = {Ideal de operadores; Operadores nucleares; Espacios de Hilbert},
language = {eng},
number = {1},
pages = {52-54},
title = {On the Schatten Sφ classes.},
url = {http://eudml.org/doc/39921},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Simôes, Marilda A.
TI - On the Schatten Sφ classes.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 1
SP - 52
EP - 54
AB - The Schatten Sp classes, 1 ≤ p ≤ ∞, were introduced and studied in [6] in connection with the problem of finding suitable classes of operators having a well-defined trace.In this paper we consider a generalization Sφ of the Schatten classes Sp obtained in correspondence with opportune, continuous, strictly increasing, sub-additive functions φ: [0,∞) → [0,∞) such that φ(0) = 0 and φ(1) = 1. Our purpose is to study the spaces Sφ of the φ-nuclear operators and to compare their properties with those of the well-known space S1 of nuclear operators.
LA - eng
KW - Ideal de operadores; Operadores nucleares; Espacios de Hilbert
UR - http://eudml.org/doc/39921
ER -