| Title:
|
Schur multiplier characterization of a class of infinite matrices (English) |
| Author:
|
Marcoci, A. |
| Author:
|
Marcoci, L. |
| Author:
|
Persson, L. E. |
| Author:
|
Popa, N. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
183-193 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $B_w(\ell ^p)$ denote the space of infinite matrices $A$ for which $A(x)\in \ell ^p$ for all $x=\{x_k\}_{k=1}^\infty \in \ell ^p$ with $|x_k|\searrow 0$. We characterize the upper triangular positive matrices from $B_w(\ell ^p)$, $1<p<\infty $, by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed. (English) |
| Keyword:
|
infinite matrices |
| Keyword:
|
Schur multipliers |
| Keyword:
|
discrete Sawyer duality principle |
| Keyword:
|
Bennett factorization |
| Keyword:
|
Wiener algebra and Hardy type inequalities |
| MSC:
|
15A48 |
| MSC:
|
15A60 |
| MSC:
|
26D15 |
| MSC:
|
47B35 |
| idZBL:
|
Zbl 1224.15066 |
| idMR:
|
MR2595082 |
| . |
| Date available:
|
2010-07-20T16:26:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140561 |
| . |
| Reference:
|
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