Abstract
We introduce two characteristics ε±(L) of a linear manifold L in a Kreĭn space and give two applications, one in the geometry of Kreĭnn spaces and the other one in the theory of operators in these spaces.
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T.Ya. Azizsov, LS. Iokhvidov, Foundation of the theory of linear operators in spaces with an indefinite metric, “Nauka”, Moscow, 1986 (Russian); English transl.: Linear operators in spaces with an indefinite metric, Wiley, New York, 1989.
I.S. Iokhvidov, Banach spaces with a J-metric and certain classes of linear operators in these spaces, Bul. Akad. Stiinnce RSS Moldoven, 1(1968), 60–80 (Russian).
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Dedicated to Heinz Langer on the occasion of his 60th birthday
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© 1998 Springer Basel AG
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Iokhvidov, E.I. (1998). Some characteristics of a linear manifold in a Kreĭn space and their applications. In: Dijksma, A., Gohberg, I., Kaashoek, M.A., Mennicken, R. (eds) Contributions to Operator Theory in Spaces with an Indefinite Metric. Operator Theory Advances and Applications, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8812-7_12
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DOI: https://doi.org/10.1007/978-3-0348-8812-7_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9782-2
Online ISBN: 978-3-0348-8812-7
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