Commutative quasi-trivial superassociative systems
H. Länger (1980)
Fundamenta Mathematicae
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H. Länger (1980)
Fundamenta Mathematicae
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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.
Kazimierz Głazek, Anzelm Iwanik (1974)
Colloquium Mathematicum
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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.
Clarke, F. Marion (1952)
Portugaliae mathematica
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Zhanmin Zhu (2017)
Commentationes Mathematicae Universitatis Carolinae
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We give some new characterizations of quasi-Frobenius rings by the generalized injectivity of rings. Some characterizations give affirmative answers to some open questions about quasi-Frobenius rings; and some characterizations improve some results on quasi-Frobenius rings.
Robert H. Lohman (1974)
Colloquium Mathematicae
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Christian W. Kroener (1968)
Rendiconti del Seminario Matematico della Università di Padova
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Camillo Trapani (2004)
Studia Mathematica
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Amouch, M. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47B47, 47B10, 47A30. In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.
Vlastimil Dlab, Claus Michael Ringel (1990)
Banach Center Publications
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D. J. Grubb (2008)
Fundamenta Mathematicae
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A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.
Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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Michel André (1983)
Manuscripta mathematica
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Ebrahimi-Fard, Kurusch (2004)
The Electronic Journal of Combinatorics [electronic only]
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T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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