Abstract
In this chapter we investigate the following question. Under what conditions a subset of a Hilbert space is continuously embedded into another Hilbert space? More precisely, let a couple of Hilbert spaces \(\mathcal{H}, \mathcal{H}_{+}\) be such that \(\mathcal{H}_{+}\) is a proper subset of \(\mathcal{H}_{0}\), i.e., H ⊃ \( \mathcal{H} \sqsupset \mathcal{H}_{+}\).
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© 2016 Springer International Publishing Switzerland
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Koshmanenko, V., Dudkin, M. (2016). Dense Subspaces in Scales of Hilbert Spaces. In: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators. Operator Theory: Advances and Applications, vol 253. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29535-0_6
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DOI: https://doi.org/10.1007/978-3-319-29535-0_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29533-6
Online ISBN: 978-3-319-29535-0
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