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What is Partial Isometries in Semi-Hilbertian Spaces about?
This paper generalizes the concepts of isometry, unitary, and partial isometry in Hilbert spaces by incorporating an additional semi-inner product defined by a positive semidefinite operator. The authors aim to describe various classes of operators that are Hermitian, isometric, unitary, or partially isometric with respect to this semi-inner product, utilizing oblique projections. Key results include the introduction of A-partial isometries and the establishment of compatibility conditions necessary for ext
- Author
- Khaled
- Language
- EN