IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Parseval frames for Krein spaces
Autor/es:
FRANCISCO MARTÍNEZ PERÍA
Lugar:
Hamburgo
Reunión:
Workshop; Workshop of the GAMM Activity Group Applied Operator Theory; 2017
Institución organizadora:
GAMM Activity Group Applied Operator Theory
Resumen:
Along this talk we briefly recall the notion of $J$-frames for Krein spaces. Then, we present a particular class of $J$-frames, the so-called Parseval $J$-frames. After studying this class, we describe Parseval $J$-frames as the vectors obtained by applying selfadjoint projections (in the Krein space sense) to orthonormal bases of a larger Krein space. This is a Krein space version of the well-known Naimark's Theorem for frames in Hilbert spaces.
