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http://hdl.handle.net/11375/8548
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DC Field | Value | Language |
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dc.contributor.advisor | Husain, T. | en_US |
dc.contributor.author | Liang, Jaung | en_US |
dc.date.accessioned | 2014-06-18T16:43:14Z | - |
dc.date.available | 2014-06-18T16:43:14Z | - |
dc.date.created | 2010-12-22 | en_US |
dc.date.issued | 1975-03 | en_US |
dc.identifier.other | opendissertations/3745 | en_US |
dc.identifier.other | 4762 | en_US |
dc.identifier.other | 1708195 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8548 | - |
dc.description.abstract | <p>Let A be a Fréchet algebra with the defining sequence {qn}n≥1 of seminorms and identity e. Let {xᵢ} be a Schauder basis in A. Then each xεA, can be written as: x = ᵢ∑₁αᵢxᵢ, where {αᵢ} is a unique sequence of complex numbers depending upon x. αᵢ's are called coordinate functionals or coefficients. This thesis is concerned with some relations among coefficients, seminorms and the identity, e of A. Further, it is shown that each multiplicative linear functional on A is continuous provided a certain condition is satisfied. Some of the results needed to prove the above results are shown to be true for Fréchet spaces. Finally, a representation theorem for Fréchet * - algebra is given.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Fréchet Algebras with Schauder Bases | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.58 MB | Adobe PDF | View/Open |
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