Symmetric multilinear forms on Hilbert spaces: Where do they attain their norm?

We characterize the sets of norm one vectors x1,…,xk in a Hilbert space H such that there exists a k-linear symmetric form attaining its norm at (x1,…,xk). We prove that in the bilinear case, any two vectors satisfy this property. However, for k≥3 only collinear vectors satisfy this property in the...

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Detalles Bibliográficos
Autores principales: Carando, D., Rodríguez, J.T.
Formato: JOUR
Materias:
Hilbert spaces
Multilinear forms
Norm attaining mappings
Tensors
Real case
Symmetric tensors
Unit ball
Vector spaces
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00243795_v563_n_p178_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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