Results 51 to 60 of about 318,666 (216)
Maximum Entropy Models for Quantum Systems
Entropy, 2016 We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given energy level are Gibbs states. This is a counterpart of the classical result for the algebra of all bounded linear operators on a Hilbert space and von ...
Andrzej Łuczak +2 more
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Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
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Hilbert 90 for Algebras with Conjugation [PDF]
Algebras and Representation Theory, 2010 We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of the Conway-Smith doubling procedure. We use our version of Hilbert 90 to parametrize all solutions in ordered fields to the norm one equation for such algebras.
openaire +3 more sources
Hilbert's Basis Theorem for Poisson Ore Extensions
Mathematische Nachrichten, EarlyView.ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source
On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers [PDF]
Учёные 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
The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
Abstract and Applied Analysis, 2007 The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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ISOMETRIC AND ISOMETRIC- m OPERATORS
Aksioma: Jurnal Program Studi Pendidikan Matematika, 2017 This paper presents the definition, samples, and natures of isometric and isometric- m algebra operator for some in Hilbert space. In additions, the relationship of both operators will also be examined. To investigate natures of isometric and isometric-
Gunawan Gunawan
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Grassmann algebras as Hilbert space
Journal of Algebra, 1968 Let \(A= (A_{ij})\) \((1\le i, j \le m)\) be an \((mn)\)-square positive definite Hermitian matrix, where each \(A_{ij}\) is an \(n\)-square matrix. Let \(A_{(k)} = (A_{ij})_{1\le i, j \le k}\) be the upper left \((nk)\)-square submatrix of \(A\), and let \(\tilde A_{(k)} = (\det A_{ij})_{1\le i, j \le k}\) denote the \(k\)-square matrix obtained by ...
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source