Zobrazeno 1 - 10
of 992
pro vyhledávání: '"47a63"'
Autor:
Cibotaru, Daniel, Vieira, Matheus
We prove, for a class of first order differential operators that contains the Stein-Weiss, Dirac and Penrose twistor operators, a family of Kato inequalities that interpolates between the classical and the refined Kato. For the Hodge-de-Rham operator
Externí odkaz:
http://arxiv.org/abs/2410.15520
We establish left and right canonical factorizations of Hilbert-space operator-valued functions $G(z)$ that are analytic on neighborhoods of the complex unit circle and the origin 0, and that have the form $G(z)=I+F(z)$ with $F(z)$ taking strictly co
Externí odkaz:
http://arxiv.org/abs/2409.17324
Autor:
Rashid, M. H. M.
This paper undertakes a thorough investigation of matrix means interpolation and comparison. We expand the parameter $\vartheta$ beyond the closed interval $[0,1]$ to cover the entire positive real line, denoted as $\mathbb{R}^+$. Furthermore, we exp
Externí odkaz:
http://arxiv.org/abs/2409.16171
This paper introduces and investigates the concept of the $q$-numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning the $q$-numerical radius associated with these operator tuples. Furth
Externí odkaz:
http://arxiv.org/abs/2410.03669
Autor:
Gesztesy, Fritz, Pang, Michael M. H.
We derive an optimal power-weighted Hardy-type inequality in integral form on finite intervals and subsequently prove the analogous inequality in differential form. We note that the optimal constant of the latter inequality differs from the former. M
Externí odkaz:
http://arxiv.org/abs/2408.01884
We revisit and extend a variety of inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality due to Schmincke.
Comment: 37 pages, corrections made and slight reorganization of appendix
Comment: 37 pages, corrections made and slight reorganization of appendix
Externí odkaz:
http://arxiv.org/abs/2408.00013
Autor:
Bhunia, Pintu
Let $A=[A_{ij}]$ be an $n\times n$ operator matrix where each $A_{ij}$ is a bounded linear operator on a complex Hilbert space $\mathcal{H}$. With other numerical radius bounds via contraction operators, we show that $w(A) \leq w(\tilde{A}),$ where $
Externí odkaz:
http://arxiv.org/abs/2407.06724
The principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy--Rellich inequality on $n$-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions $n \in \mathbb{N}$, $n\geq
Externí odkaz:
http://arxiv.org/abs/2407.05212
Autor:
Zamani, Ali
Let $\mathscr{A}$ be a unital $C^*$-algebra with unit $e$ and let $\nu\in(0, 1)$. We introduce the concept of the $\nu$-weighted contraharmonic of two positive definite elements $a$ and $b$ of $\mathscr{A}$ by \begin{align*} {C}_{\nu}(a, b):= (1-\nu)
Externí odkaz:
http://arxiv.org/abs/2406.08986
Autor:
Zamani, Ali
Several numerical radius inequalities in the framework of $C^*$-algebras are proved in this paper. These results, which are based on an extension of Buzano inequality for elements in a pre-Hilbert $C^*$-module, generalize earlier numerical radius ine
Externí odkaz:
http://arxiv.org/abs/2405.16212