Results 21 to 30 of about 14,642,230 (161)

Linear Algebra [PDF]

open access: yes, 2012
Linear algebra occupies a central place in modern mathematics. Also, it is a beautiful and mature field of mathematics, and mathematicians have developed highly effective methods for solving its problems.

core   +2 more sources

On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2015
C∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper.
A.Yu. Kuznetsova, E.V. Patrin
doaj  

Sphere and projective space of a C*-algebra with a faithful state

open access: yesDemonstratio Mathematica, 2019
Let 𝒜 be a unital C*-algebra with a faithful state ϕ. We study the geometry of the unit sphere 𝕊ϕ = {x ∈ 𝒜 : ϕ(x*x) = 1} and the projective space ℙϕ = 𝕊ϕ/𝕋.
Antunez Andrea C.
doaj   +1 more source

Graded C*-algebras and twisted groupoid C*-algebras

open access: yes, 2019
Let $C^*$-algebra that is acted upon by a compact abelian group. We show that if the fixed-point algebra of the action contains a Cartan subalgebra $D$ satisfying an appropriate regularity condition, then $A$ is the reduced $C^*$-algebra of a groupoid twist.
Brown, Jonathan H.   +3 more
openaire   +3 more sources

Lie 2-algebra models [PDF]

open access: yes, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid   +3 more
core   +1 more source

Homological Algebra for Superalgebras of Differentiable Functions

open access: yes, 2012
This is the second in a series of papers laying the foundations for a differential graded approach to derived differential geometry (and other geometries in characteristic zero). In this paper, we extend the classical notion of a dg-algebra to define, in
Sub Algebra,Geometry&Mathem. Logic begr.   +2 more
core   +1 more source

On Birkhoff – James and Roberts orthogonality

open access: yesSpecial Matrices, 2018
In this paper we present some recent results on characterizations of the Birkhoff-James and the Roberts orthogonality in C*-algebras and Hilbert C*-modules.
Arambašic Ljiljana, Rajic Rajna
doaj   +1 more source

CAPACITIES ON C*-ALGEBRAS

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2003
We distinguish three classes of capacities on a C*-algebra: subadditive, additive and maxitive. A tightness notion for capacities, the vague and narrow topologies on the set of capacities are introduced. The vague space of additive capacities which are finite on compact projections is a noncommutative version of the usual vague space of Radon measures ...
openaire   +4 more sources

G-identities For The Lie Algebra Sl2(c)

open access: yes, 2015
In this paper we study the G-identities for the Lie algebra sl2(C) over the complex field C. If sl2(C) is acted on faithfully by a finite group G then G is isomorphic to one of the following groups: Cn, Dn, A4, S4, A5.
Mattos Mortari A.D., Koshlukov P.
core   +2 more sources

Identities in the Algebra of Partial Maps

open access: yes, 2005
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson   +3 more
core   +1 more source

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