Results 1 to 10 of about 10,174 (178)

Unital hyperarchimedean vector lattices [PDF]

, 2013
We prove that the category of unital hyperarchimedean vector lattices is equivalent to the category of Boolean algebras. The key result needed to establish the equivalence is that, via the Yosida representation, such a vector lattice is naturally ...
Ball, Richard N., Marra, Vincenzo
core   +2 more sources

Polynomial-Sized Topological Approximations Using The Permutahedron [PDF]

, 2016
Classical methods to model topological properties of point clouds, such as the Vietoris-Rips complex, suffer from the combinatorial explosion of complex sizes.
Choudhary, Aruni, Kerber, Michael, Raghvendra, Sharath   +2 more
core   +2 more sources

Vector lattices with a Hausdorff uo-Lebesgue topology

, 2021
We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
core   +1 more source

Order convergence in infinite-dimensional vector lattices is not topological [PDF]

, 2017
In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $\dim ...
Dabboorasad, Y. A., Emelyanov, E. Y., Marabeh, M. A. A.   +2 more
core   +1 more source

Set optimization - a rather short introduction

, 2014
Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems.
A Ben-Tal, A Göpfert, A Götz, A Löhne, A Löhne, A Löhne, A Löhne, A Löhne, A Roux, AA Lechicki, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AM Rubinov, AY Azimov, AY Azimov, B Fuchssteiner, BM Glover, BN Pshenichnyi, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, C Brink, C Gerth (Tammer), C Gutiérrez, C Malivert, C Zălinescu, C Zălinescu, CS Lalitha, D Denneberg, D Gourion, D Gourion, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, DG Luenberger, DG Luenberger, DT Luc, DT Luc, DT Luc, DT Luc, E Hernández, E Hernández, E Hernández, E Hernández, E Hernández, E Jouini, E Klein, E Muselli, E Szpilrajn, F Ferro, F Ferro, F Flores-Bazán, F Flores-Bazán, F Heyde, F Heyde, F Heyde, F Heyde, F Heyde, F Heyde, G Godini, G Pollák, GP Crespi, GP Crespi, GP Crespi, GY Chen, GY Chen, GY Chen, H Isermann, H Joe, H Kawasaki, HP Benson, HP Benson, HW Corley, HW Corley, I Singer, J Baier, J Benoist, J Getán, J Jahn, J Jahn, J Jahn, J Jahn, J Olko, J Zowe, J Zowe, J Zowe, J-E Martínez-Legaz, J-P Aubin, JM Borwein, JM Borwein, JM Borwein, JM Borwein, JP Dauer, JP Dauer, JP Dauer, JSH Kornbluth, JW Nieuwenhuis, K Keimel, K Nehring, K-H Elster, K-U Jahn, KD Schmidt, L Hernández, L Rodríguez-Marín, L-J Lin, M Alonso, M Durea, M Ehrgott, M Maggis, M Volle, M Ward, M Ward, M Ward, MM Day, N Galatos, NB Minh, NB Minh, P Artzner, P Prakash, P Walley, PC Fishburn, PH Dien, PH Sach, R Cross, RC Young, RI Boţ, RI Boţ, RP Dilworth, RT Rockafellar, RT Rockafellar, RT Rockafellar, RW Shephard, S Dolecki, S Gaubert, S Nishizawa, S Nishizawa, S Nishizawa, SJ Li, SJ Li, SL Brumelle, SL Brumelle, SS Kutateladze, SS Wang, T Maeda, T Maeda, T Pennanen, T Tanino, T Tanino, T Tanino, T Tanino, TS Blyth, TXD Ha, TXD Ha, TXD Ha, U Zimmermann, V Postolică, V Postolică, VV Beresnev, VV Gorokhovik, W Bossert, W Oettli, W Rödder, W Schachermayer, W Song, W Song, W Song, WW Breckner, WY Zhang, XQ Yang, XQ Yang, Y Araya, Y Kannai, Y Sawaragi, YM Kabanov, YM Liu, Z Li, Z-F Li, ZG Nishianidze   +192 more
core   +1 more source

Normality of spaces of operators and quasi-lattices

, 2015
We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
core   +1 more source

Variable sets over an algebra of lifetimes: a contribution of lattice theory to the study of computational topology [PDF]

, 2015
A topos theoretic generalisation of the category of sets allows for modelling spaces which vary according to time intervals. Persistent homology, or more generally, persistence is a central tool in topological data analysis, which examines the structure ...
Costa, João Pita, Johansson, Mikael Vejdemo, Škraba, Primož   +2 more
core  

On the lattice structure of probability spaces in quantum mechanics

, 2011
Let C be the set of all possible quantum states. We study the convex subsets of C with attention focused on the lattice theoretical structure of these convex subsets and, as a result, find a framework capable of unifying several aspects of quantum ...
A. Dvurečenskij, A. Gleason, A. Holevo, A. Plastino, B. Mielnik, B. Mielnik, B. Mielnik, C. Piron, C.H. Randall, César Massri, D. Aerts, D. Aerts, D. Buhagiar, D. D’Espagnat, D. Foulis, E. Beltrametti, E.G. Beltrametti, E.T. Jaynes, E.T. Jaynes, F. Holik, F. Holik, F. Holik, F. Valentine, Federico Holik, G. Aubrun, G. Birkhoff, G. Domenech, G. Kalmbach, G. Kalmbach, G.W. Mackey, H. Barnum, H. Barnum, H. Brezis, H. Putnam, I. Bengtsson, J.M. Jauch, J.R. Greechie, K. Życzkowski, Leandro Zuberman, M. Castagnino, M. Castagnino, M. Horodecki, M. Reed, M. Rédei, M. Schlosshauer, M.L. Dalla Chiara, O. Bratteli, P. Pták, R. Clifton, R. Clifton, R. Giuntini, R. Horodeki, R. Werner, S.P. Gudder, S.P. Gudder, T. Rockafellar, V. Varadarajan, V. Varadarajan, W. Stulpe   +58 more
core   +2 more sources

Linear and non-linear price decentralization [PDF]

Compendious and thorough solutions to the existence of a linear price equilibrium problem, the second welfare theorem, and the limit theorem on the core are provided for exchange economies whose consomption sets are the positive cone of arbitrary ordered
Charalambos Aliprantis, Monique Florenzano, Rabee Tourky   +2 more
core   +3 more sources

Vector lattice covers of ideals and bands in pre-Riesz spaces

, 2018
Pre-Riesz spaces are ordered vector spaces which can be order densely embedded into vector lattices, their so-called vector lattice covers. Given a vector lattice cover $Y$ for a pre-Riesz space $X$, we address the question how to find vector lattice ...
Kalauch, Anke, Malinowski, Helena
core   +1 more source