Tensor products and p-induction of representations on Banach spaces.

Philippe Jaming; William Moran

Collectanea Mathematica (2000)

  • Volume: 51, Issue: 1, page 83-109
  • ISSN: 0010-0757

Abstract

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In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.

How to cite

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Jaming, Philippe, and Moran, William. "Tensor products and p-induction of representations on Banach spaces.." Collectanea Mathematica 51.1 (2000): 83-109. <http://eudml.org/doc/41485>.

@article{Jaming2000,
abstract = {In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.},
author = {Jaming, Philippe, Moran, William},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Producto tensorial; Espacios LP; Fórmula de Kronecker; tensor products; -nuclear operators; Peter Weil theorem; induced representations; Kronecker product theorem; Frobenius reciprocity theorem},
language = {eng},
number = {1},
pages = {83-109},
title = {Tensor products and p-induction of representations on Banach spaces.},
url = {http://eudml.org/doc/41485},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Jaming, Philippe
AU - Moran, William
TI - Tensor products and p-induction of representations on Banach spaces.
JO - Collectanea Mathematica
PY - 2000
VL - 51
IS - 1
SP - 83
EP - 109
AB - In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.
LA - eng
KW - Espacios de Banach; Producto tensorial; Espacios LP; Fórmula de Kronecker; tensor products; -nuclear operators; Peter Weil theorem; induced representations; Kronecker product theorem; Frobenius reciprocity theorem
UR - http://eudml.org/doc/41485
ER -

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