| Title:
|
Lambert multipliers between $L^p$ spaces (English) |
| Author:
|
Jabbarzadeh, M. R. |
| Author:
|
Sarbaz, S. Khalil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
31-43 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper Lambert multipliers acting between $L^p$ spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated. (English) |
| Keyword:
|
conditional expectation |
| Keyword:
|
multipliers |
| Keyword:
|
multiplication operators |
| Keyword:
|
Fredholm operator |
| MSC:
|
46E30 |
| MSC:
|
47A53 |
| MSC:
|
47B20 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 1220.47043 |
| idMR:
|
MR2595068 |
| . |
| Date available:
|
2010-07-20T16:11:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140547 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Herron, J.: Weighted conditional expectation operators on $L^p$ spaces.UNC Charlotte Doctoral Dissertation (). |
| Reference:
|
[5] Kantorovitz, S.: Introduction to Modern Analysis.Oxford University Press Oxford (2003). Zbl 1014.46001, MR 1977370 |
| Reference:
|
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| Reference:
|
[7] Lambert, A.: $L^p$ multipliers and nested sigma-algebras.Oper. Theory Adv. Appl. 104 (1998), 147-153. MR 1639653 |
| Reference:
|
[8] Lambert, A., Weinstock, B. M.: A class of operator algebras induced by probabilistic conditional expectations.Mich. Math. J. 40 (1993), 359-376. Zbl 0820.46056, MR 1226836, 10.1307/mmj/1029004757 |
| Reference:
|
[9] Lambert, A.: Hyponormal composition operators.Bull. London Math. Soc. 18 (1986), 395-400. Zbl 0624.47014, MR 0838810, 10.1112/blms/18.4.395 |
| Reference:
|
[10] Rao, M. M.: Conditional Measures and Applications.Marcel Dekker New York (1993). Zbl 0815.60001, MR 1234936 |
| Reference:
|
[11] Takagi, H.: Fredholm weighted composition operators.Integral Equations Oper. Theory 16 (1993), 267-276. Zbl 0783.47048, MR 1205002, 10.1007/BF01358956 |
| Reference:
|
[12] Takagi, H., Yokouchi, K.: Multiplication and composition operators between two $L^p$-spaces.Contemp. Math. 232 (1999), 321-338. MR 1678344, 10.1090/conm/232/03408 |
| Reference:
|
[13] Zaanen, A. C.: Integration, 2nd ed.North-Holland Amsterdam (1967). MR 0222234 |
| . |
