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Abstract:

We show that the centraliser of the space of n-fold symmetric injective tensors, n ≥ 2, on a real Banach space is trivial. With a geometric condition on the set of extreme points of its dual, the space of integral polynomials we obtain the same result for complex Banach spaces. We give some applications of this results to centralisers of spaces of homogeneous polynomials and complex Banach spaces. In addition, we derive a Banach-Stone Theorem for spaces of vector-valued approximable polynomials.

Registro:

Documento: Artículo
Título:Centralisers of spaces of symmetric tensor products and applications
Autor:Boyd, C.; Lassalle, S.
Filiación:School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
Departamento de Matemática, Pab. I - Cuidad Universitaria, (FCEN), Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Año:2006
Volumen:254
Número:3
Página de inicio:539
Página de fin:552
DOI: http://dx.doi.org/10.1007/s00209-006-0957-3
Título revista:Mathematische Zeitschrift
Título revista abreviado:Math. Z.
ISSN:00255874
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255874_v254_n3_p539_Boyd

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Citas:

---------- APA ----------
Boyd, C. & Lassalle, S. (2006) . Centralisers of spaces of symmetric tensor products and applications. Mathematische Zeitschrift, 254(3), 539-552.
http://dx.doi.org/10.1007/s00209-006-0957-3
---------- CHICAGO ----------
Boyd, C., Lassalle, S. "Centralisers of spaces of symmetric tensor products and applications" . Mathematische Zeitschrift 254, no. 3 (2006) : 539-552.
http://dx.doi.org/10.1007/s00209-006-0957-3
---------- MLA ----------
Boyd, C., Lassalle, S. "Centralisers of spaces of symmetric tensor products and applications" . Mathematische Zeitschrift, vol. 254, no. 3, 2006, pp. 539-552.
http://dx.doi.org/10.1007/s00209-006-0957-3
---------- VANCOUVER ----------
Boyd, C., Lassalle, S. Centralisers of spaces of symmetric tensor products and applications. Math. Z. 2006;254(3):539-552.
http://dx.doi.org/10.1007/s00209-006-0957-3