Results 31 to 40 of about 816 (94)
An Approximate Version of the Jordan von Neumann Theorem for Finite Dimensional Real Normed Spaces [PDF]
It is known that any normed vector space which satisfies the parallelogram law is actually an inner product space. For finite dimensional normed vector spaces over R, we formulate an approximate version of this theorem: if a space approximately satisfies
Passer, Benjamin
core +1 more source
Prime filters of hyperlattices
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza +3 more
doaj +1 more source
A quantitative version of the commutator theorem for zero trace matrices [PDF]
Let $A$ be a $m\times m$ complex matrix with zero trace and let $\e>0$. Then there are $m\times m$ matrices $B$ and $C$ such that $A=[B,C]$ and $\|B\|\|C\|\le K_\e m^\e\|A\|$ where $K_\e$ depends only on $\e$.
Johnson, William B. +2 more
core +3 more sources
Operator inequalities via geometric convexity
The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
semanticscholar +1 more source
Some generalizations and complements of determinantal inequalities
K. Audenaert in [1] formulated a determinantal inequality arising from diffusion tensor imaging. Very recently M. Lin proved in [6] a complement and proposed a conjecture.
H. Abbas, Mohammad M. Ghabries
semanticscholar +1 more source
On some reciprocal matrices with elliptical components of their Kippenhahn curves
By definition, reciprocal matrices are tridiagonal n-by-n matrices A with constant main diagonal and such that ai,i+1ai+1,i= 1 for i = 1, . . ., n − 1.
Jiang Muyan, Spitkovsky Ilya M.
doaj +1 more source
New norm equalities and inequalities for certain operator matrices
We prove new norm equalities and inequalities for general n×n tridiagonal and antitridiagonal operator matrices, including pinching type inequalities for weakly unitarily invariant norms.
Watheq Bani-Domi +2 more
semanticscholar +1 more source
Distributive and Dual Distributive Elements in Hyperlattices
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza +3 more
doaj +1 more source
Bounds for the zeros of unilateral octonionic polynomials
In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
doaj +1 more source
A generalization of Young-type inequalities
In this paper, we prove a simple but useful result and apply it to give a generalization of Young-type inequalities developed by many researchers. Applications to positive definite matrices will be also provided. Mathematics subject classification (2010):
D. Choi
semanticscholar +1 more source

