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quant-ph2022
Spectral order unit spaces and JB-algebras
Anna Jenčová, Sylvia Pulmannová
Order unit spaces with comparability and spectrality properties as introduced by Foulis are studied. We define continuous functional calculus for order unit spaces with the compara…
quant-ph2021★ 4 cited
Spectral resolutions in effect algebras
Anna Jenčová, Sylvia Pulmannová
Effect algebras were introduced as an abstract algebraic model for Hilbert space effects representing quantum mechanical measurements. We study additional structures on an effect a…
quant-ph2021★ 4 cited
Geometric and algebraic aspects of spectrality in order unit spaces: a comparison
Anna Jenčová, Sylvia Pulmannová
Two approaches to spectral theory of order unit spaces are compared: the spectral duality of Alfsen and Shultz and the spectral compression bases due to Foulis. While the former ap…