Metric Properties of Projections in Semi-Hilbertian Spaces

By M. Arias, Gustavo Corach, M. C. Gonzalez. 2008

161 citations recorded by the source corpus.

Abstract.Several results on norms of projections on a Hilbert space $${\mathcal{H}}$$ are extended for the operator seminorm defined by a positive semidefinite operator $$A\,\in\,L({\mathcal{H}})^+$$.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/17a1a88805a2327f90777f20f1b1d364856730b5

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In Computational Theory and Mathematics

1. Pintu Bhunia
2. Kallol Paul
3. Kais Feki

In Mathematical Physics

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2. Kais Feki
3. Kallol Paul

Citations in the corpus

• A-Numerical Radius Orthogonality and Parallelism of Semi-Hilbertian Space Operators and Their Applications (2020, result): “For an account of results, we refer to [2, 3, 14].”
• A note on the A-numerical radius of operators in semi-Hilbert spaces (2020, background): “For more results and proofs related to this class of operators, we invite the reader to consult [1,2] and their references.”