The disc algebra and a moment problem

2007 ◽  
pp. 53-55
Author(s):  
Dragu Atanasiu
Keyword(s):  
Moment Problem ◽  
Disc Algebra

On Weierstrass' monsters in the disc algebra

2018 ◽  
Vol 25 (2) ◽  
pp. 241-262 ◽  
Author(s):  
L. Bernal-González ◽  
J. López-Salazar ◽  
J.B. Seoane-Sepúlveda
Keyword(s):  
Disc Algebra

The discrete moment problem with fractional moments

2013 ◽  
Vol 41 (6) ◽  
pp. 715-718 ◽  
Author(s):  
Anh Ninh ◽  
András Prékopa
Keyword(s):  
Moment Problem ◽  
Discrete Moment ◽  
Fractional Moments

A Moment Problem in L 1 Approximation

1965 ◽  
Vol 16 (4) ◽  
pp. 665 ◽  
Author(s):  
Charles R. Hobby ◽  
John R. Rice
Keyword(s):  
Moment Problem

The moment problem on perfect hypergroups

2016 ◽  
Vol 29 (2) ◽  
pp. 232-236
Author(s):  
A. S. Okb El Bab ◽  
Hossam A. Ghany
Keyword(s):  
Moment Problem ◽  
The Moment

scholarly journals THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE

2006 ◽  
Vol 49 (1) ◽  
pp. 39-52 ◽  
Author(s):  
Yun Sung Choi ◽  
Domingo Garcia ◽  
Sung Guen Kim ◽  
Manuel Maestre
Keyword(s):  
Banach Space ◽  
Positive Integer ◽  
Banach Spaces ◽  
Compact Space ◽  
Linear Operators ◽  
Homogeneous Polynomials ◽  
Numerical Radius ◽  
Disc Algebra ◽  
Multilinear Maps ◽  
Numerical Index

AbstractIn this paper, we introduce the polynomial numerical index of order $k$ of a Banach space, generalizing to $k$-homogeneous polynomials the ‘classical’ numerical index defined by Lumer in the 1970s for linear operators. We also prove some results. Let $k$ be a positive integer. We then have the following:(i) $n^{(k)}(C(K))=1$ for every scattered compact space $K$.(ii) The inequality $n^{(k)}(E)\geq k^{k/(1-k)}$ for every complex Banach space $E$ and the constant $k^{k/(1-k)}$ is sharp.(iii) The inequalities$$ n^{(k)}(E)\leq n^{(k-1)}(E)\leq\frac{k^{(k+(1/(k-1)))}}{(k-1)^{k-1}}n^{(k)}(E) $$for every Banach space $E$.(iv) The relation between the polynomial numerical index of $c_0$, $l_1$, $l_{\infty}$ sums of Banach spaces and the infimum of the polynomial numerical indices of them.(v) The relation between the polynomial numerical index of the space $C(K,E)$ and the polynomial numerical index of $E$.(vi) The inequality $n^{(k)}(E^{**})\leq n^{(k)}(E)$ for every Banach space $E$.Finally, some results about the numerical radius of multilinear maps and homogeneous polynomials on $C(K)$ and the disc algebra are given.

Parquet Diagrams in the Local-Moment Problem

1971 ◽  
Vol 4 (9) ◽  
pp. 3165-3174 ◽  
Author(s):  
R. A. Weiner
Keyword(s):  
Moment Problem ◽  
Local Moment
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