Clarkson type inequalities and their relations to the concepts of type and cotype.

Título inglés	Clarkson type inequalities and their relations to the concepts of type and cotype.
Título español	Desigualdades tipo Clarkson y sus relaciones con los conceptos de tipo y cotipo.
Autor/es	Kato, Mikio ; Persson, Lars-Erik. ; Takahashi, Yasuji
Organización	Dep. Math. Kyushu Inst. Technol., Kitakyushu, Japón;Dep. Math. Luleá Univ. Technol., Luleá, Suecia;Dep. Syst. Eng. Okayama Perf. Univ., Soja, Japón
Revista	0010-0757
Publicación	2000, 51 (3): 327-346, 28 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize several classical and some recent results of this type.
Clasificación UNESCO	120203
Palabras clave español	Espacios de Banach ; Desigualdades
Código MathReviews	MR1814333
Código Z-Math	Zbl 0983.46014
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