Results 1 to 10 of about 10,196 (151)

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
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Disintegration of positive isometric group representations on $\mathrm{L}^p$-spaces [PDF]

, 2017
Let $G$ be a Polish locally compact group acting on a Polish space $X$ with a $G$-invariant probability measure $\mu$. We factorize the integral with respect to $\mu$ in terms of the integrals with respect to the ergodic measures on $X$, and show that ...
de Jeu, Marcel, Rozendaal, Jan
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Beyond cash-additive risk measures: when changing the num\'{e}raire fails [PDF]

, 2013
We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest in a pre-specified eligible asset to ensure it is adequately capitalized.
Farkas, Walter, Koch-Medina, Pablo, Munari, Cosimo   +2 more
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Sublattices of lattices of convex subsets of vector spaces [PDF]

, 2004
For a left vector space V over a totally ordered division ring F, let Co(V) denote the lattice of convex subsets of V. We prove that every lattice L can be embedded into Co(V) for some left F-vector space V.
Semenova, Marina V., Wehrung, Friedrich
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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
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Topological Orthoalgebras

, 1989
We define topological orthoalgebras (TOAs) and study their properties. While every topological orthomodular lattice is a TOA, the lattice of projections of a Hilbert space is an example of a lattice-ordered TOA that is not a toplogical lattice.
A. A. Stark, A. McKellar, A.C. Cheung, A.C. Cheung, A.E. Douglas, B. E. Turner, B. Zuckerman, B. Zuckerman, D. B. Sanders, E. C. Sutton, E. Herbst, F. Casoli, G. R. Knapp, H. Weaver, J. Cernicharo, J. D. Kenney, J. M. Moran, K. J. Richardson, K. Y. Lo, L. Blitz, L. E. B. Johansson, L. E. Snyder, L. J. Rickard, M. Kutner, P. M. Solomon, P. Palmer, P. Swings, P. Thaddeus, R. Genzel, R. L. Snell, R. W. Wilson, S. Weinreb, S.E. Cummins, T. Dame, W. J. Wilson, W.B. Burton   +35 more
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Free vector lattices over vector spaces

, 2020
We show that free vector lattices over vector spaces can be realised in a natural fashion as vector lattices of real-valued functions. The argument is inspired by earlier work by Bleier, with some analysis in locally convex topological vector spaces ...
de Jeu, Marcel
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
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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
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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
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