Results 41 to 50 of about 19,389 (202)
Unitarily invariant norm inequalities involving Heron and Heinz means
Journal of Inequalities and Applications, 2014 In this paper, we present some new inequalities for unitarily invariant norms involving Heron and Heinz means for matrices, which generalize the result of Theorem 2.1 (Fu and He in J. Math. Inequal.
Haisong Cao, Junliang Wu
semanticscholar +2 more sources
On Hayajneh and Kittaneh's conjecture on unitarily invariant norm
, 2017 In this short note, we give an affirmative answer to a conjecture posed by Hayajneh and Kittaneh on a unitarily invariant norm inequality.
Jun-Tong Liu +2 more
semanticscholar +1 more source
A note on the $C$-numerical radius and the $\lambda$-Aluthge transform in finite factors
, 2017 We prove that for any two elements $A$, $B$ in a factor $M$, if $B$ commutes with all the unitary conjugates of $A$, then either $A$ or $B$ is in $\mathbb{C}I$.
Fang, Junsheng +2 more
core +1 more source
Norm inequalities related to the Heron and Heinz means [PDF]
, 2017 In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the ...
Conde, C. +4 more
core +2 more sources
AI‐Enhanced Signal Detection and Channel Estimation for Beyond 5G and 6G Wireless Networks
Transactions on Emerging Telecommunications Technologies, Volume 36, Issue 12, December 2025.This paper introduces deep learning‐based methods for channel estimation and signal detection in ma‐MIMO systems, significantly improving performance. FF‐PCNet enhances channel estimation with 40.2% lower error, and LSTM‐DetNet and FF‐DetNet signal detection methods, which achieve superior signal detection with up to 99.993% SER performance and reduced
Muhammad Yunis Daha +3 more
wiley +1 more source
Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core +3 more sources
Some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2012 This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh (Linear Algebra Appl. 308 (2000) 203-211).
openaire +1 more source
Local Lidskii's theorems for unitarily invariant norms [PDF]
Linear Algebra and its Applications, 2018 arXiv admin note: text overlap with arXiv:1610 ...
Massey, Pedro Gustavo +2 more
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Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley +1 more source
Zhejiang Daxue xuebao. Lixue ban, 2002 典则相关变量的优良性质可以用一些极值来描述.在酉不变模意义下,得出了典则相关变量的一个极大值定理和一个极小值定理.其结果说明典则相关变量在更一般意义下具有最优性质.
ZHANGGuo-fen(张帼奋) +1 more
doaj +1 more source