Derivations of quasi -algebras.
Bagarello, F., Inoue, A., Trapani, C. (2004)
International Journal of Mathematics and Mathematical Sciences
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Bagarello, F., Inoue, A., Trapani, C. (2004)
International Journal of Mathematics and Mathematical Sciences
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F. Bagarello, C. Trapani (1994)
Annales de l'I.H.P. Physique théorique
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Giorgia Bellomonte, Camillo Trapani (2011)
Studia Mathematica
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A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate...
Trapani, Camillo (2006)
International Journal of Mathematics and Mathematical Sciences
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Kazimierz Głazek, Anzelm Iwanik (1974)
Colloquium Mathematicum
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Camillo Trapani (2004)
Studia Mathematica
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J. Słomiński
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CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...
Giorgia Bellomonte, Camillo Trapani (2013)
Studia Mathematica
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Camillo Trapani (2003)
Studia Mathematica
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Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.
J. Słomiński
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CONTENTSINTRODUCTION...................................................................................................................................................................... 31. TERMS NOTATION AND LEMMAS.................................................................................................................................. 4A. Quasi-algebras and algebras..........................................................................................................................................................................
Heydar Radjavi, Peter Šemrl (2008)
Studia Mathematica
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Let X and Y be Banach spaces and ℬ(X) and ℬ(Y) the algebras of all bounded linear operators on X and Y, respectively. We say that A,B ∈ ℬ(X) quasi-commute if there exists a nonzero scalar ω such that AB = ωBA. We characterize bijective linear maps ϕ : ℬ(X) → ℬ(Y) preserving quasi-commutativity. In fact, such a characterization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption.
Camillo Trapani, Salvatore Triolo (2015)
Studia Mathematica
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We continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi C*-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra (𝔛,𝔄₀) can be represented in a class of noncommutative local L²-spaces.
J.-P. Antoine, F. Mathot (1987)
Annales de l'I.H.P. Physique théorique
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Ebrahimi-Fard, Kurusch (2004)
The Electronic Journal of Combinatorics [electronic only]
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J.-P. Antoine, F. Bagarello, C. Trapani (1998)
Annales de l'I.H.P. Physique théorique
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