Tensor product and I-two paranormed structures

• Autores: D. K. Bhattacharya, T. Roy
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 11, Nº. 1-2, 1999, págs. 29-40
• Idioma: inglés
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• Resumen

  • The papar generalizas the idea of tensor pr9duct of two normed linear spaces to that of two 1-paranormed spaces relativa to a given 1-paranormed space and discusses different types of 1-paranorms which generate different types of 1-two paranorm structures on the tensor product space. lt also considers the tensor product of a Banach algebra and a complete 1-paranormed algebra relativa to a given complete 1-paranormed algebra and shows that, in this case, the tensor product is a 1-two paranormed algebra.