نتایج جستجو برای: unital a

تعداد نتایج: 13431994  

Journal: :Mathematische Semesterberichte 2020

1997
Alessandra Frabetti

Dialgebras are a generalization of associative algebras which gives rise to Leibniz algebras instead of Lie algebras. In this paper we deene the dialgebra (co)homology with coeecients, recovering, for constant coeecients, the natural bar homology of dialgebras introduced by J.-L. Loday in L6] and denoted by HY. We show that the homology HY has the main expected properties: it is a derived funct...

Journal: :Journal of Algebra and Its Applications 2021

There is a special local ring [Formula: see text] of order without identity for the multiplication, defined by We study algebraic structure linear codes over that non-commutative ring, in particular their residue and torsion codes. introduce notion quasi self-dual Type IV codes, whose all codewords have even Hamming weight. weight enumerators these means invariant theory, classify them short le...

2015
GEORGE A. ELLIOTT GUIHUA GONG HUAXIN LIN

Let A be a simple separable unital locally approximately subhomogeneous C*algebra (locally ASH algebra). It is shown that A ⊗ Q can be tracially approximated by unital Elliott-Thomsen algebras with trivial K1-group, where Q is the universal UHF algebra. In particular, it follows that A is classifiable by the Elliott invariant if A is Jiang-Su stable.

2013
A. G. Ghazanfari B. Ghazanfari

Let A be a unital amenable A∗-algebra, or a unital commutative hermitian Banach ∗-algebra. We show that if ρ : A → B(H) is a bounded homomorphism, then ρ is completely bounded and ‖ρ‖cb ≤ ‖ρ‖2. Mathematics Subject Classification: 46L07; 46k05

2011
JOZSEF SANDOR M. KHOSRAVI J. S. AUJLA S. S. DRAGOMIR

Let Φ1, . . . ,Φn be strictly positive linear maps from a unital C∗algebra A into a C∗-algebra B and let Φ = ∑n i=1 Φi be unital. If f is an operator convex function on an interval J , then for every self-adjoint operator A ∈ A with spectrum contained in J , the following refinement of the Choi– Davis–Jensen inequality holds:

2007
RALF MEYER

We show that the matricial norms of a non-unital operator algebra determine those of the algebra obtained by adjoining a unit to it. As applications , we classify two-dimensional unital operator algebras and show that the algebra of bounded holomorphic functions on a strongly pseudoconvex domain has a contractive representation that is not completely contractive.

Journal: :Quantum Information Processing 2007
Motohisa Fukuda

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. We construct a unital channel for a given channel so that they share the above additivity properties; we can reduce the conjectures for all channels to those for unital channels.

2008
MAHYA GHANDEHARI HAMED HATAMI

Abstract. For any finite unital commutative idempotent semigroup S, a unital semilattice, we show how to compute the amenability constant of its semigroup algebra l(S), which is always of the form 4n+1. We then show that these give lower bounds to amenability constants of certain Banach algebras graded over semilattices. Our theory applies to certain natural subalgebras of Fourier-Stieltjes alg...

Journal: :Journal of Mathematical Physics 2002

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