Tensor product in symmetric function spaces.

S. V. Astashkin

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 4-5-6, page 375-391
  • ISSN: 0010-0757

Abstract

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A concept of the multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows us to obtain some concrete results. In particular, the well-know theorem of R. O'Neil about boundedness of tensor product in the Lorentz spaces Lpq is discussed.

How to cite

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Astashkin, S. V.. "Tensor product in symmetric function spaces.." Collectanea Mathematica 48.4-5-6 (1997): 375-391. <http://eudml.org/doc/40662>.

@article{Astashkin1997,
abstract = {A concept of the multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows us to obtain some concrete results. In particular, the well-know theorem of R. O'Neil about boundedness of tensor product in the Lorentz spaces Lpq is discussed.},
author = {Astashkin, S. V.},
journal = {Collectanea Mathematica},
keywords = {Producto tensorial; Espacios de funciones; Operador bilineal; Simetría; Límite; multiplicator; symmetric function space; boundedness of tensor product in the Lorentz spaces},
language = {eng},
number = {4-5-6},
pages = {375-391},
title = {Tensor product in symmetric function spaces.},
url = {http://eudml.org/doc/40662},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Astashkin, S. V.
TI - Tensor product in symmetric function spaces.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 375
EP - 391
AB - A concept of the multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows us to obtain some concrete results. In particular, the well-know theorem of R. O'Neil about boundedness of tensor product in the Lorentz spaces Lpq is discussed.
LA - eng
KW - Producto tensorial; Espacios de funciones; Operador bilineal; Simetría; Límite; multiplicator; symmetric function space; boundedness of tensor product in the Lorentz spaces
UR - http://eudml.org/doc/40662
ER -

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