Bicircular projections on some matrix and operator spaces
A projection \(p\) on a complex Banach space is called bicircular if every linear combination \(\lambda p+\mu (1-p)\), with \(| \lambda| =| \mu| =1\), is an isometry. This notion arises from complex analysis, particularly Reinhardt domains. The authors study and explicitly characterize the set of bicircular projections for the complex Banach spaces \(B(H)\) of bounded linear operators on a Hilbert space \(H\), \(S(H)\) (the symmetric part of \(B(H)\)) and \(A(H)\) (the antisymmetric part of \(B(H)\)).
scientific article; zbMATH DE number 2083489
scientific article