Characterizations of certain multiplier classes (Record no. 48762)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02379nam a2200265Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s1994||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | UNM Th-47 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Radha, R. |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Characterizations of certain multiplier classes |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 1994 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | iv; 64p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 1994 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | University of Madras |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | This thesis deals with the study of the multipliers. The problem of characterizing the multipliers from a Segal Algebra S(G) into the space ((L^p)(G))and from S(G) into ((A^p)(G)). A vector version of characterizations of the multipliers for the pair ( (L^1)(G), (L^p)(G) ) is also obtained. Segal Algebras are very important subalgebras of((L^1)(G)). The class of functions introduced by Wiener in 1932 in his study of Tauberian theorems is the very first example of a Segal Algebra. In this thesis, Segal Algebra, Multipliers on Segal Algebra are definded; Many lemmas and Theorems are described, proved with some remarks, and used for discussions of the present study. On discussions over 'Multipliers and A^p(G) algebras, a concrete dual space characterization for the space M(S(G), A^p(G)) where S(G) is a Segal Algebra contained in A^p(G), is obtained. And proved that for 1<p<infinity, M(S(G), A^p(G)) could be identified with a Banach Space of continuous functions. Existence of Isometric Isomorphism of M(S(G),A^p(G)) onto the dual space of a Banach space of a continuous functions is stated in a theorem and proved that on a unit sphere of M(S(G), A^p(G)) the strong operator topology is stronger than the weak*topology. A vector version of the characterizations of the multipliers for the pair (L^(G), L^p(G)), 1<p<infinity, is provided, where G is a locally compact abelian group under the assumption that A is commutative Banach Algebra with a bounded approximate identity. The main theorem, Let T: L^1(G) --> L^p(G,A) be a continuous -linear operator where 1<p<infinity, with some conditions stated to be equivalent and proved. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Linear Operators |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Multiplier Classes |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Segal Algebras |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Vector Measures |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Unni, K. R. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/71 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | UNM Th-47 | 36815 | http://www.imsc.res.in/xmlui/handle/123456789/71 | THESIS & DISSERTATION |