TY - JOUR
T1 - Plank type problems for polynomials on Banach spaces
AU - Kavadjiklis, Andreas
AU - Kim, Sung Guen
PY - 2012/12/15
Y1 - 2012/12/15
N2 - In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L p(μ) spaces.
AB - In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical L p(μ) spaces.
KW - Plank problems
KW - Polynomials on Banach spaces
KW - Upper and lower bounds
UR - http://www.scopus.com/inward/record.url?scp=84865572357&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2012.06.029
DO - 10.1016/j.jmaa.2012.06.029
M3 - Article
AN - SCOPUS:84865572357
SN - 0022-247X
VL - 396
SP - 528
EP - 535
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -