Abstract.
Hilbert C*-modules are generalizations of Hilbert spaces equipped with scalar products taking values in C*-algebras. The failure of the projection theorem leads to new difficulties for the operator theory on Hilbert C*-modules compared to the Hilbert space setting. In this paper we discuss two classes of unbounded operators (regular operators, graph regular operators) on Hilbert C*-modules and C*-algebras.
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Schmüdgen, K. (2018). Unbounded operators on Hilbert C*-modules and C*-algebras. In: Böttcher, A., Potts, D., Stollmann, P., Wenzel, D. (eds) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol 268. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-75996-8_23
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DOI: https://doi.org/10.1007/978-3-319-75996-8_23
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-75995-1
Online ISBN: 978-3-319-75996-8
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