# A note on certain partial sum operators

Banach Center Publications (2006)

- Volume: 73, Issue: 1, page 117-225
- ISSN: 0137-6934

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topMarek Bożejko, and Gero Fendler. "A note on certain partial sum operators." Banach Center Publications 73.1 (2006): 117-225. <http://eudml.org/doc/282148>.

@article{MarekBożejko2006,

abstract = {We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of $L_p$ functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative $L_p$ spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.},

author = {Marek Bożejko, Gero Fendler},

journal = {Banach Center Publications},

language = {eng},

number = {1},

pages = {117-225},

title = {A note on certain partial sum operators},

url = {http://eudml.org/doc/282148},

volume = {73},

year = {2006},

}

TY - JOUR

AU - Marek Bożejko

AU - Gero Fendler

TI - A note on certain partial sum operators

JO - Banach Center Publications

PY - 2006

VL - 73

IS - 1

SP - 117

EP - 225

AB - We show that for the t-deformed semicircle measure, where 1/2 < t ≤ 1, the expansions of $L_p$ functions with respect to the associated orthonormal polynomials converge in norm when 3/2 < p < 3 and do not converge when 1 ≤ p < 3/2 or 3 < p. From this we conclude that natural expansions in the non-commutative $L_p$ spaces of free group factors and of free commutation relations do not converge for 1 ≤ p < 3/2 or 3 < p.

LA - eng

UR - http://eudml.org/doc/282148

ER -

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