Results 31 to 40 of about 311,052 (319)

Square Roots in Banach Algebras [PDF]

Proceedings of the American Mathematical Society, 1966
A complex number which is not a nonpositive real number has a unique square root in the right half-plane. In this paper, we obtain an extension of this observation to general (complex) Banach algebras. Since the elements we study are regular, and have logarithms, the existence of square roots is not at stake.
openaire   +1 more source

Extending the Set of Quadratic Exponential Vectors [PDF]

, 2008
We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by
Accardi, Luigi, Dhahri, Ameur, Skeide, Michael   +2 more
core   +2 more sources

Isomorphism of Matrix Algebras over Cuntz Algebras [PDF]

ITM Web of Conferences
Starting with a Cuntz algebra On constructed by n isometries, we discuss a C*-algebra consisting of elements of a fixed size k square matrix, where the entries of matrix are from the Cuntz algebra 𝒪n.
Humam Afif, Lindiarni Janny, Gunadi Reinhart, Setya Budhi Wono   +3 more
doaj   +1 more source

Hilbert Modules - Square Roots of Positive Maps [PDF]

, 2009
We reflect on the notions of positivity and square roots. We review many examples which underline our thesis that square roots of positive maps related to *-algebras are Hilbert modules.
Skeide, Michael
core   +1 more source

On Superalgebras of Matrices with Symmetry Properties [PDF]

, 2016
It is known that semi-magic square matrices form a 2-graded algebra or superalgebra with the even and odd subspaces under centre-point reflection symmetry as the two components.
Hill, S. L., Lettington, M. C., Schmidt, K. M.   +2 more
core   +3 more sources

The three types of normal sequential effect algebras [PDF]

Quantum, 2020
A sequential effect algebra (SEA) is an effect algebra equipped with a $\textit{sequential product}$ operation modeled after the Lüders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C$^*$-algebras.
Abraham Westerbaan, Bas Westerbaan, John van de Wetering   +2 more
doaj   +1 more source

Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

Mathematics, 2015
A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
doaj   +1 more source

Nil Algebras with Nonradical Tensor Square [PDF]

Proceedings of the American Mathematical Society, 1988
The paper contains some simple observations on the tensor square of algebras. Applied to the well-known Golod examples, they allow us to produce nil algebras with nonradical tensor square.
openaire   +2 more sources

Computing Square Roots in Quaternion Algebras

Fundamenta Informaticae, 2023
We present an explicit algorithmic method for computing square roots in quaternion algebras over global fields of characteristic different from 2.
openaire   +4 more sources

THE HEISENBERG'S TRIDIMENSIONAL GROUP H3

Pesquimat, 2014
On the basis of [7], we have the necessary theory to study the Heisenberg's group geometry. This paper goal is to carry the whole results to the tridimensional case.
Richard santiago Quispe Rivas
doaj   +1 more source