Results 151 to 160 of about 24,858 (293)
Domain characterizations of strong commutativity of unbounded self‐adjoint operators
Abstract Let A$A$ and B$B$ be unbounded self‐adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace D⊆D(AB)∩D(BA)$\mathcal {D}\,\subseteq \mathcal {D}\,(AB)\cap \mathcal {D}\,(BA)$ such that ABx=BAx$ABx=BAx$ for x∈D$x \in \mathcal {D}$. We give some characterizations of the strong commutativity of A$A$ and B$B$ in terms
Konrad Schmüdgen
wiley +1 more source
Weighted veronese rings via convex semigroups
Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase +6 more
wiley +1 more source
Commutativity and Commutative Pairs of Some Differential Equations
Scientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [115E952]
openaire +4 more sources
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Variation inequalities related to Schrödinger operators on weighted Morrey spaces
This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
doaj +1 more source
Nonlocal quantum field theory predicts a finite phase‐space resolution, so even highly squeezed quantum states cannot be localized beyond a fundamental nonlocal limit, providing a potential experimental signature of nonlocality. ABSTRACT In a previous paper we derived an uncertainty relation for nonlocal fields by showing that the physical localization
E. J. Thompson
wiley +1 more source
Nonnegative Reduced Biquaternion Matrix Factorization With Applications in Color Face Recognition
ABSTRACT Quaternion numbers are commonly used to represent color image pixels. Since color image pixels are nonnegative, nonnegativity constraint should be incorporated into the components of quaternion numbers. However, existing quaternion‐based matrix factorization models do not fully satisfy nonnegativity constraints.
Jifei Miao, Junjun Pan, Michael K. Ng
wiley +1 more source
Summary: We exhibit with proof a ring of minimal order in which the commutator subset is not a subring.
openaire +2 more sources
Iterated commutators and functions of operators [PDF]
Feynman formalisms for expressing iterated commutators and functions of ...
Volkin, H. C.
core
Foundations of Wilson Lines and Loops From Basic Concepts to Gauge Field Reconstruction
Wilson lines and Wilson loops are reviewed as parallel transport observables in continuum gauge theory. Full holonomy data recover the local connection and curvature through short segment and small loop limits. Traced Wilson loops are gauge invariant but lose matrix information, so reconstruction requires a compatible lift constrained by trace ...
Shokoufe Faraji
wiley +1 more source

