Results 21 to 30 of about 140,041 (215)

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

Structural Aspects of Two-Dimensional Anomalous Gauge Theories [PDF]

, 1998
A foundational investigation of the basic structural properties of two-dimensional anomalous gauge theories is performed. The Hilbert space is constructed as the representation of the intrinsic local field algebra generated by the fundamental set of ...
Abdalla, Babelon, Basseto, Belvedere, Belvedere, Boyanovsky, C.G. Carvalhaes, Capri, Carena, Carvalhaes, Chanowitz, de Souza Dutra, Faddeev, Fradkin, Girotti, Halliday, Halpern, Jackiw, Kurak, L.V. Belvedere, Lowenstein, Miao, Morchio, Morchio, Morchio, N.A. Lemos, Naón, Pierotti, R.L.P.G. do Amaral, Rothe, Schroer, Shizuya, Strocchi, Swieca, Swieca, Wess   +35 more
core   +2 more sources

Descent of Hilbert C*-modules

, 2020
Let F be a right Hilbert C*-module over a C*-algebra B, and suppose that F is equipped with a left action, by compact operators, of a second C*-algebra A.
Crisp, Tyrone
core   +1 more source

Characterizations of Belligerent Interior GE-Filters in GE-Algebras

Pan-American Journal of Mathematics, 2023
The notion of GE-algebra is introduced by Bandaru et al. as a generalization of Hilbert algebra. The consept of interior GE-algebra is introduced by Lee et al., and related properties are investigated.
Daniel A. Romano, Ravikumar Bandaru, Seok-Zun Song, Young Bae Jun   +3 more
doaj   +1 more source

NORMED HILBERT ALGEBRAS

Honam Mathematical Journal, 2007
In this paper, we introduce the notion of a norm in Hilbert algebras, and discuss some properties of Cauchy sequences.
Sun-Shin Ahn, Kyoung-Ja Lee, Keum-Sook So   +2 more
openaire   +1 more source

A Hilbert C*-module admitting no frames

, 2009
We show that every infinite-dimensional commutative unital C*-algebra has a Hilbert C*-module admitting no frames. In particular, this shows that Kasparov's stabilization theorem for countably generated Hilbert C*-modules can not be extended to arbitrary
Li, Hanfeng
core   +1 more source

A symmetry algebra in double-scaled SYK

SciPost Physics, 2023
The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions and their interaction number to infinity in a coordinated way.
Henry W. Lin, Douglas Stanford
doaj   +1 more source