Voir la notice de l'article provenant de la source Cambridge University Press
AMINI, MASSOUD; KALANTAR, MEHRDAD; MEDGHALCHI, ALIREZA; MOLLAKHALILI, AHMAD; NEUFANG, MATTHIAS. COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 445-462. doi: 10.1017/S0017089516000276
@article{10_1017_S0017089516000276,
author = {AMINI, MASSOUD and KALANTAR, MEHRDAD and MEDGHALCHI, ALIREZA and MOLLAKHALILI, AHMAD and NEUFANG, MATTHIAS},
title = {COMPACT {ELEMENTS} {AND} {OPERATORS} {OF} {QUANTUM} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {445--462},
year = {2017},
volume = {59},
number = {2},
doi = {10.1017/S0017089516000276},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/}
}
TY - JOUR AU - AMINI, MASSOUD AU - KALANTAR, MEHRDAD AU - MEDGHALCHI, ALIREZA AU - MOLLAKHALILI, AHMAD AU - NEUFANG, MATTHIAS TI - COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS JO - Glasgow mathematical journal PY - 2017 SP - 445 EP - 462 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/ DO - 10.1017/S0017089516000276 ID - 10_1017_S0017089516000276 ER -
%0 Journal Article %A AMINI, MASSOUD %A KALANTAR, MEHRDAD %A MEDGHALCHI, ALIREZA %A MOLLAKHALILI, AHMAD %A NEUFANG, MATTHIAS %T COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS %J Glasgow mathematical journal %D 2017 %P 445-462 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/ %R 10.1017/S0017089516000276 %F 10_1017_S0017089516000276
[1] 1. , and , Non-semi-regular quantum groups coming from number theory, Comm. Math. Phys. 235 (2003), 139–167. Google Scholar
[2] 2. and , Amenability and co-amenability for locally compact quantum groups, Internat. J. Math. 14 (2003), 865–884. Google Scholar | DOI
[3] 3. , and , Analysis on semigroups. Function spaces, compactifications, representations, Canadian Mathematical Society Series of Monographs and Advanced Texts (John Wiley & Sons, Inc., New York, 1989). Google Scholar
[4] 4. and , Compactness conditions for elementary operators, Studia Math. 178 (1) (2007), 1–18. Google Scholar
[5] 5. , Remarks on the quantum Bohr compactification, Illinois J. Math., 57 (4) (2013), 1131–1171. Google Scholar | DOI
[6] 6. , , and , The Haagerup property for locally compact quantum groups, J. Reine Angew. Math., 711 (2016), 189–229. Google Scholar
[7] 7. and , Vector measures (American Mathematical Society, Providence, RI, 1977). Google Scholar | DOI
[8] 8. and , Discrete quantum groups I, the Haar measure, Internat. J. Math. 5 (1994), 681–723. Google Scholar
[9] 9. , On certain elements of C*-algebras, Illinois J. Math. 15 (1971), 682–693. Google Scholar
[10] 10. and , Multipliers and ideals in second conjugate algebras related to locally compact groups, J. Funct. Anal. 132 (1995), 170–191. Google Scholar | DOI
[11] 11. , and , Convolution of trace class operators over locally compact quantum groups, Canad. J. Math. 65 (5) (2013), 1043–1072. Google Scholar
[12] 12. , and , Module maps over locally compact quantum groups, Studia Math. 211 (2) (2012), 111–145. Google Scholar
[13] 13. , Compact operators in regular LCQ groups, Canad. Math. Bull. 57 (3) (2014), 546–550. Google Scholar
[14] 14. , Towards harmonic analysis on locally compact quantum groups from groups to quantum groups – and back, PhD Thesis (Carleton University, 2011). Google Scholar
[15] 15. and , From quantum groups to groups, Canad. J. Math. 65 (5) (2013), 1073–1094. Google Scholar
[16] 16. and , Locally compact quantum groups, Ann. Sci. Èole Norm. Sup. 33 (2000), 837–934. Google Scholar | DOI
[17] 17. and , Locally compact quantum groups in the Von Neumann algebraic setting, Math. Scand. 92 (2003), 68–92. Google Scholar | DOI
[18] 18. and , On the second conjugate algebra of L 1(G) of a locally compact group, J. London Math. Soc. 37 (2) (1988), 464–470. Google Scholar
[19] 19. , Weakly compact multipliers on group algebras, J. Funct. Anal. 213 (2004), 466–472. Google Scholar
[20] 20. , C*-algebras and operator theory (Academic Press, Inc., San Diego, CA, 1990). Google Scholar
[21] 21. , Solution to Farhadi–Ghahramani's multiplier problem, Proc. Amer. Math. Soc. 138 (2) (2010), 553–555. Google Scholar
[22] 22. , Banach algebras and general theory of *-algebras, vol. 1 (Cambridge University Press, Cambridge, 1994). Google Scholar
[23] 23. , Characterizations of compact and discrete quantum groups through second duals, J. Operator Theory 60 (2008), 415–428. Google Scholar
[24] 24. , Completely almost periodic functionals, Arch. Math. (Basel) 97 (2011), 325–331. Google Scholar
[25] 25. , Uniform continuity over locally compact quantum groups, J. London Math. Soc. 80 (2009), 55–71. Google Scholar
[26] 26. , Weakly compact operators on operator algebras, Pacific J. Math. 14 (1964), 659–664. Google Scholar
[27] 27. , Quantum Bohr compactification, Illinois J. Math. 49 (2005), 1245–1270. Google Scholar
[28] 28. , Operator ideals on ordered Banach spaces, PhD Thesis (University of Alberta, 2013). Google Scholar
[29] 29. , Theory of operator algebras, vol. 1 (Springer-Verlag, New York-Heidelberg, 1979). Google Scholar
[30] 30. , Geometry of the Fourier algebras and locally compact groups with atomic unitary representations, Math. Ann. 262 (2) (1983), 183–190. Google Scholar
[31] 31. , Compact matrix pseudogroups, Comm. Math. Phys. 111 (4) (1987), 613–665. Google Scholar
[32] 32. , A note on the compact elements of C*-algebras, Proc. Amer. Math. Soc. 35 (1972), 305–306. Google Scholar
[33] 33. , Weakly completely continuous elements of C*-algebras, Proc. Amer. Math. Soc. 52 (1975), 323–326. Google Scholar
Cité par Sources :