### Abstract

An explicit representation of the topological dual of the inductive limit space H4 generated by a colllection R of s.a. operators, has been found in the form of a space of spectral trajectories. i.e .. vector-valued measures with the orthogonal scattering property. This paper is a continuation of (5) completing the previous theory. Illustrations of this type of spaces can be derived from distribution theory and Gel'fand triples theory. At the end of Section 5 we give a short summary on these matters.

Original language | English |
---|---|

Pages (from-to) | 45-60 |

Journal | Studia Mathematica |

Volume | 91 |

Issue number | 1 |

Publication status | Published - 1988 |

## Fingerprint Dive into the research topics of 'Spectral trajectories, duality and inductive-projective limits of Hilbert spaces'. Together they form a unique fingerprint.

## Cite this

Eijndhoven, van, S. J. L., & Kruszynski, P. (1988). Spectral trajectories, duality and inductive-projective limits of Hilbert spaces.

*Studia Mathematica*,*91*(1), 45-60.