On the norm of idempotents in \(C^*\)-algebras
From MaRDI portal
Publication:1880827
DOI10.1216/rmjm/1181069874zbMath1066.46044OpenAlexW2042739535MaRDI QIDQ1880827
J. J. Koliha, Vladimir Rakočevič
Publication date: 1 October 2004
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181069874
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General theory of (C^*)-algebras (46L05)
Related Items (25)
The difference and sum of projectors ⋮ Invertibility in rings of the commutatorab – ba, whereaba=aandbab=b ⋮ Applications of CS decomposition in linear combinations of two orthogonal projectors ⋮ The many proofs of an identity on the norm of oblique projections ⋮ Further characterizations of the co-EP matrices ⋮ Unbounded or bounded idempotent operators in Hilbert space ⋮ Matrices \(A\) such that \(AA^\dagger-A^\dagger A\) are nonsingular ⋮ On invertibility of some operator sums ⋮ Subspaces, angles and pairs of orthogonal projections ⋮ Characterizations and representations of the group inverse involving idempotents ⋮ The -positive semidefinite matrices A such that are nonsingular ⋮ McIntosh formula for the gap between regular operators ⋮ Universal decomposition equalities for operator matrices in a Hilbert space ⋮ Properties of the combinations of commutative idempotents ⋮ On the continuity of the group inverse in \(C^*\)-algebras ⋮ Products of projections in von Neumann algebras ⋮ The spectrum of matrices depending on two idempotents ⋮ On the spectrum of linear combinations of two projections inC*-algebras ⋮ Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods ⋮ Nonsingularity and group invertibility of linear combinations of twok-potent matrices ⋮ Perturbations of direct complements in Hilbert spaces ⋮ On the continuity and differentiability of the (dual) core inverse in C*-algebras ⋮ The group inverse of the combinations of two idempotent operators ⋮ Range projections and the Moore–Penrose inverse in rings with involution ⋮ Trace and differences of idempotents in \(C^\ast\)-algebras
Cites Work
- The Szegö kernel in terms of Cauchy-Fantappie kernels
- Canonical angles of unitary spaces and perturbations of direct complements
- RANGE PROJECTIONS OF IDEMPOTENTS IN C*-ALGEBRAS
- On the Norm of Idempotent Operators in a Hilbert Space
- Inverting the Difference of Hilbert Space Projections
- Lipschitz continuity of oblique projections
- Hilbert space idempotents and involutions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the norm of idempotents in \(C^*\)-algebras
