Zobrazeno 1 - 10
of 101
pro vyhledávání: '"17C20"'
Autor:
Jeong, Juyoung
A geometric commutation principle in Euclidean Jordan algebra, recently proved by Gowda, says that, for any spectral set $E$ in a Euclidean Jordan algebra $V$ and $a \in E$, $a$ strongly operator commutes with every element in the normal cone $N_E(a)
Externí odkaz:
http://arxiv.org/abs/2409.04712
Autor:
Zohrabi, Arezoo, Zusmanovich, Pasha
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 1 (October 11, 2024) cm:13595
We compute $\delta$-derivations of simple Jordan algebras with values in irreducible bimodules. They turn out to be either ordinary derivations ($\delta = 1$), or scalar multiples of the identity map ($\delta = \frac 12$). This can be considered as a
Externí odkaz:
http://arxiv.org/abs/2404.11966
Completely mixed linear games and irreducibility concepts for Z-transformations over self-dual cones
Autor:
Gowda, Muddappa Seetharama
In the setting of a self-dual cone in a finite-dimensional inner product space, we consider (zero-sum) linear games. In our previous work, we showed that a Z-transformation with positive value is completely mixed. The present paper considers the case
Externí odkaz:
http://arxiv.org/abs/2310.13464
Autor:
Jeong, Juyoung, Gowda, Muddappa
A Fan-Theobald-von Neumann system is a triple $(V,W,\lambda)$, where $V$ and $W$ are real inner product spaces and $\lambda:V\to W$ is a norm-preserving map satisfying a Fan-Theobald-von Neumann type inequality together with a condition for equality.
Externí odkaz:
http://arxiv.org/abs/2307.08478
Autor:
Gowda, M. Seetharama, Jeong, Juyoung
A Fan-Theobald-von Neumann system is a triple $(V,W,\lambda)$, where $V$ and $W$ are real inner product spaces and $\lambda:V \to W$ is a norm-preserving map satisfying a Fan-Theobald-von Neumann type inequality together with a condition for equality
Externí odkaz:
http://arxiv.org/abs/2209.14175
Autor:
Gowda, Muddappa
A well-known theorem of Korovkin asserts that if $\{T_k\}$ is a sequence of positive linear transformations on $C[a,b]$ such that $T_k(h)\rightarrow h$ (in the sup-norm on $C[a,b]$) for all $h\in \{1,\phi,\phi^2\}$, where $\phi(t)=t$ on $[a,b]$, then
Externí odkaz:
http://arxiv.org/abs/2209.13303
Publikováno v:
SIGMA 19 (2023), 078, 27 pages
Jordan algebras arise naturally in (quantum) information geometry, and we want to understand their role and their structure within that framework. Inspired by Kirillov's discussion of the symplectic structure on coadjoint orbits, we provide a similar
Externí odkaz:
http://arxiv.org/abs/2112.09781
Autor:
McInroy, J., Shpectorov, S.
Motivated by Yabe's classification of symmetric $2$-generated axial algebras of Monster type, we introduce a large class of algebras of Monster type $(\alpha, \frac{1}{2})$, generalising Yabe's $\mathrm{III}(\alpha,\frac{1}{2}, \delta)$ family. Our a
Externí odkaz:
http://arxiv.org/abs/2104.11727
Autor:
Gowda, Muddappa
The commutation principle of Ramirez, Seeger, and Sossa proved in the setting of Euclidean Jordan algebras says that when the sum of a real valued function $h$ and a spectral function $\Phi$ is minimized/maximized over a spectral set $E$, any local o
Externí odkaz:
http://arxiv.org/abs/2009.04874
Autor:
Gowda, Muddappa, Juyoung, Jeong
Given a linear map $T$ on a Euclidean Jordan algebra of rank $n$, we consider the set of all nonnegative vectors $q$ in $R^n$ with decreasing components that satisfy the pointwise weak-majorization inequality $\lambda(|T(x)|)\underset{w}{\prec}q*\lam
Externí odkaz:
http://arxiv.org/abs/2008.07472