### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 289-305 |

Numero di pagine | 17 |

Rivista | Studia Mathematica |

Volume | 172 |

Stato di pubblicazione | Published - 2006 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cita questo

*Studia Mathematica*,

*172*, 289-305.

**Quasi *-algebras of measurable operators.** / Trapani, Camillo; Bagarello, Fabio; Triolo, Salvatore.

Risultato della ricerca: Article

*Studia Mathematica*, vol. 172, pagg. 289-305.

}

TY - JOUR

T1 - Quasi *-algebras of measurable operators

AU - Trapani, Camillo

AU - Bagarello, Fabio

AU - Triolo, Salvatore

PY - 2006

Y1 - 2006

N2 - Non-commutative Lp-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p 2 they are also proved to possess a su cient family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a nite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (X;A0) possessing a su cient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

AB - Non-commutative Lp-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For p 2 they are also proved to possess a su cient family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a nite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra (X;A0) possessing a su cient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

UR - http://hdl.handle.net/10447/14890

UR - https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/172/3/89798/quasi-algebras-of-measurable-operators

M3 - Article

VL - 172

SP - 289

EP - 305

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

ER -