### Abstract

The notion of bounded element of C*-inductive locally convex spaces (or C*- inductive partial *-algebras) is introduced and discussed in two ways: The ﬁrst one takes into account the inductive structure provided by certain families of C*-algebras; the second one is linked to the natural order of these spaces. A particular attention is devoted to the relevant instance provided by the space of continuous linear maps acting in a rigged Hilbert space.

Original language | English |
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Pages (from-to) | 343-356 |

Number of pages | 14 |

Journal | Annali di Matematica Pura ed Applicata |

Volume | 195 |

Publication status | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics