Results 1 to 10 of about 30,076 (88)

Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement [PDF]

Quantum, 2022
We consider a bipartite transformation that we call self-embezzlement and use it to prove a constant gap between the capabilities of two models of quantum information: the conventional model, where bipartite systems are represented by tensor products of ...
Richard Cleve, Benoit Collins, Li Liu, Vern Paulsen   +3 more
doaj   +1 more source

Spectral resolutions in effect algebras [PDF]

Quantum, 2022
Effect algebras were introduced as an abstract algebraic model for Hilbert space effects representing quantum mechanical measurements. We study additional structures on an effect algebra $E$ that enable us to define spectrality and spectral resolutions ...
Anna Jenčová, Sylvia Pulmannová
doaj   +1 more source

Heisenberg modules as function spaces [PDF]

, 2020
Let $\Delta$ be a closed, cocompact subgroup of $G \times \widehat{G}$, where $G$ is a second countable, locally compact abelian group. Using localization of Hilbert $C^*$-modules, we show that the Heisenberg module $\mathcal{E}_{\Delta}(G)$ over the ...
Austad, Are, Enstad, Ulrik
core   +2 more sources

Some remarks on the GNS representations of topological $^*$-algebras [PDF]

, 2008
After an appropriate restatement of the GNS construction for topological $^*$-algebras we prove that there exists an isomorphism among the set $\cycl(A)$ of weakly continuous strongly cyclic $^*$-representations of a barreled dual-separable $^*$-algebra ...
Belanger A., M. A. Castagnino, S. M. Iguri, Treves F.   +3 more
core   +5 more sources

EP modular operators and their products [PDF]

, 2014
We study first EP modular operators on Hilbert C*-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha [{\it Studia Math.} {\bf 139} (2000),
Sharifi, Kamran
core   +1 more source

Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing [PDF]

, 2020
We give a general construction of a setup that verifies bulk reconstruction, conservation of relative entropies, and equality of modular flows between the bulk and the boundary, for infinite-dimensional systems with operator-pushing. In our setup, a bulk-
Gesteau, Elliott, Kang, Monica Jinwoo
core   +1 more source

Operator theory and function theory in Drury-Arveson space and its quotients [PDF]

, 2014
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias, A Arias, A Athavale, A Athavale, A Beurling, A Volberg, AE Frazho, BVR Bhat, C Ambrozie, C Ambrozie, D Alpay, D Alpay, D Alpay, D Sarason, DC Greene, DW Kribs, E Tchoundja, F-H Vasilescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, G Popescu, GM Henkin, J Agler, J Agler, J Arazy, J Eschmeier, J Eschmeier, J Gleason, J Neumann von, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JA Ball, JM Ortega, JW Bunce, K Guo, K Guo, KC Lin, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, KR Davidson, L Carleson, L Carleson, M Andersson, M Hartz, M Kennedy, M Kerr, N Arcozzi, NTh Varopoulos, NTh Varopoulos, OM Shalit, OM Shalit, P Quiggin, PD Lax, PR Halmos, PS Muhly, PS Muhly, PS Muhly, Q Fang, Q Fang, RG Douglas, RG Douglas, RG Douglas, S Costea, S McCullough, S McCullough, S Richter, S Treil, SG Krantz, SW Drury, T Andô, TT Trent, V Bolotnikov, V Müller, W Rudin, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WB Arveson, WF Stinespring, X Fang, Z Chen   +93 more
core   +1 more source

Representations of \'etale groupoids on $L^p$-spaces

, 2017
For $p\in (1,\infty)$, we study representations of \'etale groupoids on $L^{p}$-spaces. Our main result is a generalization of Renault's disintegration theorem for representations of \'etale groupoids on Hilbert spaces.
Gardella, Eusebio, Lupini, Martino
core   +1 more source

Descent of Hilbert C*-modules

, 2020
Let F be a right Hilbert C*-module over a C*-algebra B, and suppose that F is equipped with a left action, by compact operators, of a second C*-algebra A.
Crisp, Tyrone
core   +1 more source

Some operator ideals in non-commutative functional analysis

, 1997
We characterize classes of linear maps between operator spaces $E$, $F$ which factorize through maps arising in a natural manner via the Pisier vector-valued non-commutative $L^p$ spaces $S_p[E^*]$ based on the Schatten classes on the separable Hilbert ...
Fidaleo, Francesco
core   +2 more sources