Erling Størmer

Professor Emeritus
Bilde av Erling Størmer
English version of this page
Telefon 228 55880
Mobiltelefon erlings@math.uio.no
Rom 1223
Brukernavn
Emneord: Matematikk, Operatoralgebraer

Publikasjoner

  • Girard, Mark; Kye, Seung-Hyeok & Størmer, Erling (2021). Convex cones in mapping spaces between matrix algebras. Linear Algebra and its Applications. ISSN 0024-3795. 608, s. 248–269. doi: 10.1016/j.laa.2020.09.008. Fulltekst i vitenarkiv
  • Størmer, Erling (2020). Extension of positive maps. Mathematica Scandinavica. ISSN 0025-5521. 126(2), s. 256–258. doi: 10.7146/math.scand.a-115974. Fulltekst i vitenarkiv
  • Bratteli, Tone; Digernes, Trond; Elliott, George A.; Evans, David E.; Jorgensen, Palle E.T. & Kishimoto, Akitaka [Vis alle 9 forfattere av denne artikkelen] (2020). Ola Bratteli and His Diagrams. Notices of the American Mathematical Society. ISSN 0002-9920. 67(5), s. 665–675. doi: 10.1090/noti2085. Fulltekst i vitenarkiv
  • Chruscinski, Dariusz; Rivas, Angel & Størmer, Erling (2018). Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps. Physical Review Letters. ISSN 0031-9007. 121(8). doi: 10.1103/PhysRevLett.121.080407. Fulltekst i vitenarkiv
  • Moslehian, Mohammad Sal; Størmer, Erling; Thorbjoernsen, Steen & Winslow, Carl (2018). Uffe Haagerup - his life and mathematics. Advances in Operator Theory. ISSN 2662-2009. 3(1), s. 295–325. doi: 10.22034/aot.1708-1213.
  • Størmer, Erling (2017). Mapping cones and separable states. Positivity (Dordrecht). ISSN 1385-1292. s. 1–7. doi: 10.1007/s11117-017-0523-8.
  • Størmer, Erling (2017). Positive maps which map the set of rank k projections onto itself. Positivity (Dordrecht). ISSN 1385-1292. 21(1), s. 509–511. doi: 10.1007/s11117-016-0432-2.
  • Størmer, Erling (2016). Separable states, maximally entangled states and positive maps. Contemporary Mathematics. ISSN 0271-4132. 671, s. 259–267. doi: 10.1090/conm/671.
  • Størmer, Erling (2016). A decomposition theorem for positive maps, and the projection onto a spin factor. Mathematica Scandinavica. ISSN 0025-5521. 118(1), s. 106–118. doi: 10.7146/math.scand.a-23300.
  • Buchholz, Detlev & Størmer, Erling (2015). Superposition, Transition Probabilities and Primitive Observables in Infinite Quantum Systems. Communications in Mathematical Physics. ISSN 0010-3616. 339(1), s. 309–325. doi: 10.1007/s00220-015-2405-x.
  • Størmer, Erling (2015). The analogue of Choi matrices for a class of linear maps on von Neumann algebras. International Journal of Mathematics. ISSN 0129-167X. 26(2). doi: 10.1142/S0129167X15500184.
  • Kawahigashi, Yasuyuki; Ogata, Yoshiko & Størmer, Erling (2014). Normal states of type III factors. Pacific Journal of Mathematics. ISSN 0030-8730. 267(1), s. 131–139. doi: 10.2140/pjm.2014.267.131.
  • Størmer, Erling (2013). Separable states and the structural physical approximation of a positive map. Journal of Functional Analysis. ISSN 0022-1236. 264(9), s. 2197–2205. doi: 10.1016/j.jfa.2013.02.015.
  • Johnston, Nathaniel; Skowronek, Lukasz & Størmer, Erling (2013). Generation of mapping cones from small sets. Linear Algebra and its Applications. ISSN 0024-3795. 438(7), s. 3062–3075. doi: 10.1016/j.laa.2012.12.007.
  • Johnston, Nathaniel & Størmer, Erling (2012). Mapping cones are operator systems. Bulletin of the London Mathematical Society. ISSN 0024-6093. 44, s. 738–748. doi: 10.1112/blms/bds006.
  • Skowronek, Lukasz & Størmer, Erling (2012). Choi matrices, norms and entanglement associated with positive maps on matrix algebras. Journal of Functional Analysis. ISSN 0022-1236. 262(2), s. 639–647. doi: 10.1016/j.jfa.2011.09.022.
  • Størmer, Erling (2012). Tensor products of positive maps of matrix algebras. Mathematica Scandinavica. ISSN 0025-5521. 111(1), s. 5–11. doi: 10.7146/math.scand.a-15210.
  • Størmer, Erling (2011). A completely positive map associated with a positive map. Pacific Journal of Mathematics. ISSN 0030-8730. 252(2), s. 487–492. doi: 10.2140/pjm.2011.252.487.
  • Størmer, Erling (2011). MAPPING CONES OF POSITIVE MAPS. Mathematica Scandinavica. ISSN 0025-5521. 108(2), s. 223–232. doi: 10.7146/math.scand.a-15168.
  • Størmer, Erling (2010). Entropy in operator algebras. I Blanchard, Etienne; Ellwood, David; Khalkhali, Masoud; Marcolli, Mathilde; Moscovici, Henri & Popa, Sorin (Red.), Quanta of Maths. AMS and Clay Mathematics Institute. ISSN 978-0-8218-5203-3. s. 601–615.
  • Størmer, Erling (2010). Tensor powers of 2-positive maps. Journal of Mathematical Physics. ISSN 0022-2488. 51(10). doi: 10.1063/1.3497628.
  • Størmer, Erling (2009). Separable states and positive maps II. Mathematica Scandinavica. ISSN 0025-5521. 105(2), s. 188–198.
  • Skowronek, L; Størmer, Erling & Zyczkowski, K (2009). Cones of positive maps and their duality relations. Journal of Mathematical Physics. ISSN 0022-2488. 50(6). doi: 10.1063/1.3155378.
  • Størmer, Erling (2009). Duality of cones of positive maps. Münster Journal of Mathematics. ISSN 1867-5778. 2, s. 299–310.
  • Størmer, Erling (2008). Separable states and positive maps. Journal of Functional Analysis. ISSN 0022-1236. 254, s. 2303–2312. doi: 10.1016/j.jfa.2007.12.017.
  • Størmer, Erling (2007). Multiplicative properties of positive maps. Mathematica Scandinavica. ISSN 0025-5521. 100(1), s. 184–192.
  • Størmer, Erling (2007). A reduction theorem for capacity of positive maps. Positivity (Dordrecht). ISSN 1385-1292. 11(1), s. 69–75. doi: 10.1007/s11117-006-2004-3.
  • Arveson, William & Størmer, Erling (2007). Asymptotic lifts of positive linear maps. Pacific Journal of Mathematics. ISSN 0030-8730. 233(1).
  • Neshveyev, Sergey & Størmer, Erling (2003). Maximal abelian subalgebras of the hyperfinite factor, entropy and ergodic theory. Acta Mathematica Sinica. English series. ISSN 1439-8516. 19(3), s. 599–604.
  • Størmer, Erling; Oikhberg, Timur & Rosenthal, Haskell (2003). A predual characterization of semi-finite von Neumann algebras. Contemporary Mathematics. ISSN 0271-4132. 335, s. 243–246.
  • Størmer, Erling (2002). Ergodic theory and maximal abelian subalgebras of the hyperfinite factor. Journal of Functional Analysis. ISSN 0022-1236. 195, s. 239–261.
  • Neshveyev, Sergey & Størmer, Erling (2002). The McMillan theorem for a class of asymptotically abelian C*-algebras. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. 22(3), s. 889–897.
  • Neshveyev, Sergey & Størmer, Erling (2002). Ergodic theory and maximal abelian subalgebras of the hyperfinite factor. Journal of Functional Analysis. ISSN 0022-1236. 195(2), s. 239–261.
  • Størmer, Erling (2001). A survey of noncommutative dynamical entropy. I Cuntz, Joachim & Jones, Vaughan (Red.), Encyclopedia of Mathematical Sciences. Springer-Verlag Berlin Heidelberg. s. 147–198.
  • Neshveyev, Sergey & Størmer, Erling (2001). Entropy of type I algebras. Pacific Journal of Mathematics. ISSN 0030-8730. 201(2), s. 421–428.
  • Størmer, Erling (2000). Entropy of endomorphisms and relative entropy in finite von Neumann algebras. Journal of Functional Analysis. ISSN 0022-1236. 170.
  • Størmer, Erling (2000). Entropy of endomorphisms and relative entropy in finite von Neumann algebras. Journal of Functional Analysis. ISSN 0022-1236. 171, s. 34–52.
  • Størmer, Erling & Neshveyev, Sergey (2000). The variational principle for a class of asymptotically abelian C*-algebras. Communications in Mathematical Physics. ISSN 0010-3616. 215, s. 177–196.
  • Størmer, Erling & Golodets, V. Ya. (1999). Generators and Comparison of Entropies of Automorphisms of finite von Neumann Algebras. Journal of Functional Analysis. ISSN 0022-1236. 164, s. 110–133.
  • Bratteli, Ola; Kishimoto, Akitaka; Rørdam, Mikael & Størmer, Erling (1993). The crossed product of a UHF algebra by a shift. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. 13, s. 615–626.
  • Alfsen, Erik; Shultz, Frederic W & Størmer, Erling (1978). A Gelfand-Neumark Theorem for Jordan Algebras. Advances in Mathematics. ISSN 0001-8708. 28(1), s. 11–56. doi: 10.1016/0001-8708%2878%2990044-0.

Se alle arbeider i Cristin

  • Størmer, Erling (2013). Positive Linear Maps of Operator Algebras. Springer Science+Business Media B.V.. ISBN 978-3-642-34369-8. 2013(VII). 134 s.
  • Størmer, Erling & Neshveyev, Sergey (2006). Dynamical entropy in operator algebras. Springer. ISBN 3-540-34670-8. 296 s.
  • Hanche-Olsen, Harald & Størmer, Erling (1984). Jordan Operator Algebras. Pitman Publishing Limited. ISBN 0-273-08619-7. 191 s.

Se alle arbeider i Cristin

  • Størmer, Erling (2010). Mapping cones of positive map.
  • Størmer, Erling (2010). Positive maps, Choi matrices, and mapping cones.
  • Størmer, Erling (2010). Mapping cones of positive maps.
  • Størmer, Erling (2010). Mapping cones of positive maps.
  • Størmer, Erling (2007). Dynamical entropy in operator algebras.
  • Størmer, Erling (2007). Asymptotisle løftninger og multiplikative egenskaper til positive avbildninger.
  • Størmer, Erling (2007). Entropy in operator algebras - a survey.
  • Størmer, Erling (2006). Multiplicative properties of positive maps.
  • Størmer, Erling (2006). Multiplicative properties of positive maps of operator algebras.
  • Størmer, Erling (2006). Three possible applications of noncommutative entropy.
  • Størmer, Erling (2005). Capacity of positve maps.
  • Størmer, Erling (2004). Positive linear maps and capacity.
  • Størmer, Erling (2004). 1)Entropy in operator algebras 2)Positive linear maps of operator algebras.
  • Størmer, Erling (2004). Positive linear maps of operator algebras. A survey of noncommutatiev entropy.
  • Størmer, Erling (2003). Entropy in operator algebras.
  • Størmer, Erling (2002). Ergodic theory and maximal abelian subalgebras of the hyperfinite factor.
  • Størmer, Erling (2002). The variational principle for a class of asymptotically abelia C*-algebras.
  • Størmer, Erling (2002). Ergodic theory and maximal abelian subalgebras of the hyperfinte factor.
  • Størmer, Erling (2002). Noncommutative entropy and the variational principle.
  • Størmer, Erling (2001). Maximal abelian subalgebras of the hyperfinite factor, entropy and ergodic theory.
  • Størmer, Erling (2001). The McMillan theorem for operator algebraer.
  • Størmer, Erling (2001). Entropy in operator algebras and the McMillan theorem.
  • Størmer, Erling (2001). Noncommutative entropy and the McMillan theorem.
  • Størmer, Erling (2001). The McMillan theorem for a class of asymptotically abelian C*-algebras.
  • Størmer, Erling (2001). The McMillan theorem for a class of asymptotically abelian C*-algebras.
  • Størmer, Erling (2000). Tredeling av vinkelen og dobling av kuben, et eksempel på algebrbraisering av geometriske problemer.
  • Størmer, Erling (2000). The variational principle for a class of asymptotically abelian C*-algebras.
  • Størmer, Erling (2000). Entropy in type I algebras.
  • Størmer, Erling (2000). The variational principle for a class of asymptotically abelian C*-algebras.
  • Størmer, Erling (2000). The variational principle for a class of asymptotically abelian C*-algebras.
  • Størmer, Erling (1999). A new result on entropy.
  • Størmer, Erling (1999). Entropy of endomorphisms and relative entropy in finite von Neumann algebras.
  • Størmer, Erling (2007). A reduction theorem for capacity of positive maps. Universitetet i Oslo.
  • Størmer, Erling & Arveson, William (2006). Asymptotic lifts of positive linear maps. arXiv:math OA/0611401.
  • Størmer, Erling (2000). A survey of noncommutative entropy. Matematisk Institutt.

Se alle arbeider i Cristin

Publisert 13. nov. 2010 14:01 - Sist endret 8. apr. 2019 14:51

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