Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley +1 more source
KMS Dirichlet forms, coercivity and superbounded Markovian semigroups on von Neumann algebras [PDF]
We introduce a construction of Dirichlet forms on von Neumann algebras M associated to any eigenvalue of the Araki modular Hamiltonian of a faithful normal non-tracial state, providing also conditions by which the associated Markovian semigroups are ...
Zegarlinski, Boguslaw +3 more
core +1 more source
Semigroups for One-Dimensional Schrödinger Operators with Multiplicative Gaussian Noise [PDF]
A problem of fundamental interest in mathematical physics is that of understanding the structure of the spectrum of random Schrödinger operators. An important tool in such investigations is the Feynman-Kac formula, which provides a simple probabilistic ...
Gaudreau Lamarre, Pierre Yves
core
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Regular ordered semigroups in terms of fuzzy subsets [PDF]
Given a set S, a fuzzy subset of S (or a fuzzy set in S) is, by definition, an arbitrary mapping f : S → [0, 1] where [0, 1] is the usual interval of real numbers. If the set S bears some structure, one may distinguish some fuzzy subsets of S in terms of
Tsingelis, M., Kehayopulu, N.
core
A spectrum of compromise aggregation operators for multi-attribute decision making. [PDF]
In many decision making problems, a number of independent attributes or criteria are often used to individually rate an alternative from an agent’s local perspective and then these individual ratings are combined to produce an overall assessment. Now, in
Luo, X. +8 more
core +1 more source
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
Generation problems for finite groups [PDF]
It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B.
McDougall-Bagnall, Jonathan M.
core
A groupoid approach to regular *-semigroups [PDF]
In this paper we develop a new groupoid-based structure theory for the class of regular ⁎-semigroups. This class occupies something of a ‘sweet spot’ between the important classes of inverse and regular semigroups, and contains many natural examples ...
Muhammed, P. A. Azeef +1 more
core +1 more source
Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid–structure interaction [PDF]
We consider a Bolza boundary control problem involving a fluid-structure interaction model. The aim of this paper is to develop an optimal feedback control synthesis based on Riccati theory.
Tuffaha, Amjad +3 more
core +1 more source

