Free operators with operator coefficients

Franz Lehner

Colloquium Mathematicae (1998)

  • Volume: 74, Issue: 2, page 321-328
  • ISSN: 0010-1354

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Lehner, Franz. "Free operators with operator coefficients." Colloquium Mathematicae 74.2 (1998): 321-328. <http://eudml.org/doc/210521>.

@article{Lehner1998,
author = {Lehner, Franz},
journal = {Colloquium Mathematicae},
keywords = {norm of convolution operator; free group; Leinert property; -algebra; representation; norms of convolution operators; Leinert sets},
language = {eng},
number = {2},
pages = {321-328},
title = {Free operators with operator coefficients},
url = {http://eudml.org/doc/210521},
volume = {74},
year = {1998},
}

TY - JOUR
AU - Lehner, Franz
TI - Free operators with operator coefficients
JO - Colloquium Mathematicae
PY - 1998
VL - 74
IS - 2
SP - 321
EP - 328
LA - eng
KW - norm of convolution operator; free group; Leinert property; -algebra; representation; norms of convolution operators; Leinert sets
UR - http://eudml.org/doc/210521
ER -

References

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  1. [A-O] C. A. Akemann and P. A. Ostrand, Computing norms in group C^*-algebras, Amer. J. Math. 98 (1976), 1015-1047. Zbl0342.22008
  2. [A] T. Ando, Topics on Operator Inequalities, Hokkaido Univ., Sapporo, 1978; MR 58#2451. Zbl0388.47024
  3. [Bo] M. Bożejko, On Λ(p) sets with minimal constant in discrete noncommutative groups, Proc. Amer. Math. Soc. 51 (1975), 407-412. Zbl0321.43004
  4. [Bu] A. Buchholz, Norm of convolution by operator-valued functions on free groups, preprint. 
  5. [F] M. Fell, Weak containment and induced representations of groups, Canad. J. Math. 14 (1962), 237-268. Zbl0138.07301
  6. [H-P] U. Haagerup and G. Pisier, Bounded linear operators between C^*-algebras, Duke Math. J. 71 (1993), 889-925. Zbl0803.46064
  7. [H] P. R. Halmos, A Hilbert Space Problem Book, 2nd ed., Springer, 1982. 
  8. [K] H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354. Zbl0092.33503
  9. [L] M. Leinert, Faltungsoperatoren auf gewissen diskreten Gruppen, Studia Math. 52 (1974), 149-158. Zbl0262.43009
  10. [M-O] A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, Academic Press, New York, 1979. Zbl0437.26007
  11. [M] R. Mathias, Concavity of monotone matrix functions of finite order, Linear and Multilinear Algebra 27 (1990), 129-138. Zbl0703.15021
  12. [Ped] G. K. Pedersen, Some operator monotone functions, Proc. Amer. Math. Soc. 36 (1972), 277-301. 
  13. [P-P] M. A. Picardello and T. Pytlik, Norms of free operators, ibid. 104 (1988), 257-261. Zbl0669.47007
  14. [W] W. Woess, A short computation of the norms of free convolution operators, ibid. 96 (1986), 167-170. Zbl0599.43007

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