Results 51 to 60 of about 1,189 (299)

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

The structure of hyperreducible triangular algebras [PDF]

Proceedings of the American Mathematical Society, 1964
Introduction. In [5] Kadison and Singer have defined triangular algebras of operators on a Hilbert space and have investigated a number of their properties with the major emphasis on classification and examples. It is the purpose of this paper to give a new construction for the hyperreducible algebras which gives some additional insight into their ...
openaire   +1 more source

Triangular algebras and ideals of nest algebras [PDF]

Memoirs of the American Mathematical Society, 1990
Let \({\mathcal H}\) be a separable Hilbert space and \({\mathcal T}\subseteq{\mathcal B}({\mathcal H})\) be an algebra of bounded operators. Say \({\mathcal T}\) is triangular if \({\mathcal T}\cap{\mathcal T}^*\) is a maximal abelian selfadjoint subalgebra (m.a.s.a.) of \({\mathcal B}({\mathcal H})\) and call this m.a.s.a. the diagonal of \({\mathcal
openaire   +3 more sources

Sustainability‐Oriented Collaborations in Green Energy Markets Formation: A Configurational Analysis of Alliance Management Capabilities and Relational View

Corporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT Sustainability‐oriented collaborations are inter‐organisational arrangements where the competencies of multiple companies are pooled together to tackle environmental challenges. These collaborations differ from traditional strategic alliances in that they tackle complex goals amidst greater uncertainties that extend beyond economic performance,
Vittorio Maria Garibbo, Eleonora Annunziata, Francesco Rizzi, Marco Frey   +3 more
wiley   +1 more source

Characterization of Generalized Derivations Associate with Hochschild 2-Cocycles on Triangular Banach Algebras

Journal of Mathematical Extension, 2015
Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebra T (related to A, B and M).
M. Kanani Arpatapeh∗, A. Jabbari
doaj  

Non-Global Lie Higher Derivations on Triangular Algebras Without Assuming Unity

Axioms
This work establishes a unified structural theory for non-global Lie higher derivations on triangular algebras T, without assuming the existence of a unit element.
Xinfeng Liang, Yujiao Sun
doaj   +1 more source

A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

Journal of Mathematics, 2021
In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

A New Class of Maximal Triangular Algebras

, 2018
Triangular algebras, and maximal triangular algebras in particular, have been objects of interest for over 50 years. Rich families of examples have been studied in the context of many w*- and C*-algebras, but there remains a dearth of concrete examples ...
John Lindsay Orr
core   +1 more source

Local realities, global discourses and decolonising the curriculum in a post‐92 UK context: Academic voices on enacting decolonial curriculum change

The Curriculum Journal, EarlyView.
Abstract This study explored how lecturers in a post‐92 UK university conceptualise and enact decolonial curriculum principles within their teaching and programme design. Drawing on semi‐structured interviews with academic staff across multiple disciplines, the research adopts a qualitative, phenomenologically informed approach to examine the interplay
Reece Sohdi
wiley   +1 more source

Triangularization of a Jordan algebra of Schatten operators [PDF]

Proceedings of the American Mathematical Society, 2008
We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.
openaire   +2 more sources