Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 10, Number 3 (2016), 451-465.
Generalized -circular projections for unitary congruence invariant norms
A projection on a complex Banach space is generalized - circular if its linear combination with two projections and having coefficients and , respectively, is a surjective isometry, where and are distinct unit modulus complex numbers different from and . Such projections are always contractive. In this paper, we prove structure theorems for generalized -circular projections acting on the spaces of all symmetric and skew-symmetric matrices over when these spaces are equipped with unitary congruence invariant norms.
Banach J. Math. Anal., Volume 10, Number 3 (2016), 451-465.
Received: 16 March 2015
Accepted: 17 August 2015
First available in Project Euclid: 13 May 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 47L05: Linear spaces of operators [See also 46A32 and 46B28]
Abu Baker, Abdullah Bin. Generalized $3$ -circular projections for unitary congruence invariant norms. Banach J. Math. Anal. 10 (2016), no. 3, 451--465. doi:10.1215/17358787-3599609. https://projecteuclid.org/euclid.bjma/1463153910