Results 91 to 100 of about 690 (191)

Matrix algebraic sets of infinite dimension [PDF]

open access: yesМатематичні Студії, 2012
Using multiplicative polynomials on algebras it is proved an analogue of Hilbert Nullstellensatz for the case of an infinite-dimensional real Banach space.
O. V. Labachuk
doaj  

Hilbert Coefficients of Quadratic Algebras

open access: yesJournal of Experimental Mathematics
If R = k[x1,...,xn]/I is a graded artinian algebra, then the length of k[x1,...,xn]/Is becomes a polynomial in s of degree n for large s. If we write this polynomial in the form ∑0<=i<=n (−1)i ei (s+n−i−1 choose n−i), then the ei's are called Hilbert coefficients of I.
openaire   +2 more sources

MULTIPLIERS IN HILBERT ALGEBRAS

open access: yesJournal of the Chungcheong Mathematical Society, 2012
In this paper, we introduce the concept of multiplier in a Hilbert algebra and obtained some properties of multipliers. Also, we introduce the simple multiplier and characterized the kernel of multipliers in Hilbert algebras.
openaire   +1 more source

Extensions of Effect Algebra Operations

open access: yesActa Polytechnica, 2011
We study the set of all positive linear operators densely defined in an infinite-dimensional complex Hilbert space. We equip this set with various effect algebraic operations making it a generalized effect algebra.
Z. Riečanová, M. Zajac
doaj  

Miscellaneous Applications of Quons

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras for fractional supersymmetric quantum mechanics, angular momentum theory and quantum ...
Maurice R. Kibler
doaj  

Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces

open access: yesActa Polytechnica, 2011
We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space.
Z. Riečanová
doaj  

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