On J-frames related to maximal definite subspaces
Kamuda, Alan · Kużel, Sergiusz
Original · EN
A definition of frames in Krein spaces is proposed which extends the concept of J-frames defined by J.I. Giribet et al., J. Math. Anal. Appl. 393 (2012), 122-137. The principal difference consists in the fact that a J-frame is related to maximal definite subspaces M± which are not assumed to be uniformly definite. The latter allows one to extend the collection of J-frames. In particular, some complete J-orthogonal sequences and J-orthogonal Schauder bases can be interpreted as J-frames.
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