ICAR Research Data Repository for Knowledge Management
Subnormality and Moment Sequences
Electronic Theses of Indian Institute of Science
View Archive Info| Field | Value | |
| Title |
Subnormality and Moment Sequences
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| Creator |
Hota, Tapan Kumar
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| Subject |
Subnormal Operators
Moment Sequences (Mathematics) Hausdroff Moment Sequences Matrices, Infinite Kernel Hilbert Space Kernels (Mathematics) Bergman Kernels Mathematics |
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| Description |
In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences may not be a Hausdorff moment sequence, but Hausdorff convolution of two moment sequences is always a moment sequence. Observing from the Berg and Dur´an result that the multiplication operator on Is subnormal, we discuss further work on the subnormality of the multiplication operator on a reproducing kernel Hilbert space, whose kernel is a point-wise product of two diagonal positive kernels. The relationship between infinitely divisible matrices and moment sequence is discussed and some open problems are listed. |
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| Contributor |
Misra, Gadadhar
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| Date |
2018-03-07T14:31:43Z
2018-03-07T14:31:43Z 2018-03-07 2012 |
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| Type |
Thesis
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| Identifier |
http://hdl.handle.net/2005/3242
http://etd.ncsi.iisc.ernet.in/abstracts/4103/G25580-Abs.pdf |
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| Language |
en_US
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| Relation |
G25580
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