Details

Autor(en) / Beteiligte

• Moretti, Valter
• Pastorello, Davide

Titel

Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem

Ist Teil von

• Annales Henri Poincaré, 2013-07, Vol.14 (5), p.1435-1443

Ort / Verlag

Basel: SP Birkhäuser Verlag Basel

Erscheinungsjahr

2013

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Consider a finite dimensional complex Hilbert space , with , define , and let be the unique regular Borel positive measure invariant under the action of the unitary operators in , with . We prove that if a complex frame function satisfies , then it verifies Gleason’s statement: there is a unique linear operator such that for every is Hermitean when f is real. No boundedness requirement is thus assumed on f a priori .