Results 31 to 40 of about 25,825 (189)

Schür’s Theorems on Commutative Matrices [PDF]

open access: yesBulletin of the American Mathematical Society, 1944
Summary: In 1905 \textit{I. Schur} [Zur Theorie der vertauschbaren Matrizen. J. Reine Angew. Math. 130, 66-76 (1905; JFM 36.0140.01)] proved that the maximum number \(N(n)\) of linearly independent commutative matrices of \(n\) rows and columns is given by the formula \(N(n)=[n^2/4]+1=\nu^2+1\) if \(n=2\nu\) and \(=\nu(\nu-1)+1\) if \(n=2\nu-1\). Schur
openaire   +4 more sources

On the mapping xy→(xy)n in an associative ring

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We consider the following condition (*) on an associative ring R:(*). There exists a function f from R into R such that f is a group homomorphism of (R,+), f is injective on R2, and f(xy)=(xy)n(x,y) for some positive integer n(x,y)>1. Commutativity and
Scott J. Beslin, Awad Iskander
doaj   +1 more source

Optimal measurements for simultaneous quantum estimation of multiple phases [PDF]

open access: yes, 2004
A quantum theory of multiphase estimation is crucial for quantum-enhanced sensing and imaging and may link quantum metrology to more complex quantum computation and communication protocols.
Adams, J.   +359 more
core   +6 more sources

Commutativity theorems for normed *-algebras [PDF]

open access: yesColloquium Mathematicum, 1996
In this interesting article, the author accomplishes his aim of establishing the commutativity of certain normed *-algebras (not necessarily complete) ``as a consequence of conditions which are seemingly too weak to imply commutativity''. In this case, the sufficient conditions generally involve assumptions about the normality of the elements of the ...
openaire   +1 more source

On some weak conditions of commutativity in common fixed point theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each
M. Imdad, M. S. Khan, S. Sessa
doaj   +1 more source

A commutativity theorem for left s-unital rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. If there exist nonnegative integers m>1, k≥0, and n≥0 such that for any x, y in R, [xky−xnym,x]=0, then R is commutative.
Hamza A. S. Abujabal
doaj   +1 more source

PCT, spin and statistics, and analytic wave front set [PDF]

open access: yes, 2006
A new, more general derivation of the spin-statistics and PCT theorems is presented. It uses the notion of the analytic wave front set of (ultra)distributions and, in contrast to the usual approach, covers nonlocal quantum fields.
A. S. Wightman   +28 more
core   +1 more source

Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

open access: yesJournal of Applied Mathematics, 2013
This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying ...
Saurabh Manro   +3 more
doaj   +1 more source

A New Derivation of the CPT and Spin-Statistics Theorems in Non-Commutative Field Theories

open access: yes, 2004
We propose an alternative axiomatic description for non-commutative field theories (NCFT) based on some ideas by Soloviev to nonlocal quantum fields.
Caio M. M. Polito   +6 more
core   +1 more source

Maps on classes of Hilbert space operators preserving measure of commutativity [PDF]

open access: yes, 2014
In this paper first we give a partial answer to a question of L. Moln\'ar and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm ...
Gehér, György Pál, Nagy, Gergő
core   +2 more sources

Home - About - Disclaimer - Privacy