Abstract
We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus \(\phi \mapsto \phi (N)\) which is the proper analogue of \(\phi \mapsto \int \phi \, dE\) in the Hilbert space situation.
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This work was supported by a joint project of the Austrian Science Fund (FWF, I1536–N25) and the Russian Foundation for Basic Research (RFBR, 13-01-91002-ANF).
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Kaltenbäck, M. Definitizability of Normal Operators on Krein Spaces and Their Functional Calculus. Integr. Equ. Oper. Theory 87, 461–490 (2017). https://doi.org/10.1007/s00020-017-2352-3
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DOI: https://doi.org/10.1007/s00020-017-2352-3