Linear maps on observables in von Neumann algebras preserving the maximal deviation

• Autores: Lajos Molnár
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 1, 2010, págs. 161-174
• Idioma: inglés
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• Resumen

  • In this paper we describe the structure of all bijective linear maps between the spaces of self-adjoint elements of von Neumann algebras that preserve the so-called maximal deviation. It turns out that those transformations are closely related to Jordan *-isomorphisms.