Results 21 to 30 of about 893,091 (234)

Some Properties of Algebra of Quotients with Bounded Evaluation of a Norm Ideal on Complex Banach Space [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2020
Cabrera-Mohammed proved that the imbedding of a norm ideal on Hilbert space in algebra of quotients with bounded evaluation is continuous with other properties. In this paper we improve this result by using complex Banach space instated of Hilbert space.
Mohammed Al-Neima, Amir Mohammed
doaj   +1 more source

Rationality of Hilbert series in noncommutative invariant theory [PDF]

, 2017
It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hilbert series, and consequently the Hilbert series of the algebra of ...
Domokos, M., Drensky, V.
core   +2 more sources

From norm derivatives to orthogonalities in Hilbert C*-modules [PDF]

Linear and multilinear algebra, 2021
Let be a Hilbert -module over a -algebra and let be the set of states on . In this paper, we first compute the norm derivative for nonzero elements x and y of as follows: We then apply it to characterize different concepts of orthogonality in .
P. Wójcik, A. Zamani
semanticscholar   +1 more source

Linear orthogonality preservers of Hilbert bundles [PDF]

, 2010
Due to the corresponding fact concerning Hilbert spaces, it is natural to ask if the linearity and the orthogonality structure of a Hilbert $C^*$-module determine its $C^*$-algebra-valued inner product.
Leung, Chi-Wai, Ng, Chi-Keung, Wong, Ngai-Ching   +2 more
core   +2 more sources

Abelian, amenable operator algebras are similar to C*-algebras [PDF]

, 2013
Suppose that H is a complex Hilbert space and that B(H) denotes the bounded linear operators on H. We show that every abelian, amenable operator algebra is similar to a C*-algebra. We do this by showing that if A is an abelian subalgebra of B(H) with the
Alexey, I. Popov, Laurent W. Marcoux
core   +1 more source

Hilbert norms for graded algebras [PDF]

Proceedings of the American Mathematical Society, 1999
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous.
Kupsch, Joachim, Smolyanov, Oleg G.
openaire   +5 more sources

Hilbert polynomials of the algebras of $SL_ 2$-invariants

Karpatsʹkì Matematičnì Publìkacìï, 2018
We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
doaj   +1 more source

BPS states meet generalized cohomology

Journal of High Energy Physics, 2023
In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
doaj   +1 more source

Quasi-free resolutions of Hilbert modules [PDF]

, 2003
The notion of a quasi-free Hilbert module over a function algebra $\mathcal{A}$ consisting of holomorphic functions on a bounded domain $\Omega$ in complex $m$ space is introduced.
Douglas, Ronald G., Misra, Gadadhar
core   +2 more sources

Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space [PDF]

SciPost Physics
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matrix ...
N. Seiberg, Sahand Seifnashri, Shu-Heng Shao   +2 more
semanticscholar   +1 more source