Bounded Linear Functionals on C[0, 1]
碩士 === 國立彰化師範大學 === 數學系所 === 99 === Given a continuous linear functional(equation),we want to seek a function(equation)of bounded variation on(equation)such that(equation)for all(equation).And this proof has two case: The first is that(equation),and the second is that(equation)is a general functiona...
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ndltd-TW-099NCUE54790062016-04-11T04:22:19Z http://ndltd.ncl.edu.tw/handle/55382601437411728406 Bounded Linear Functionals on C[0, 1] Bounded Linear Functionals on C[0, 1] Ou-Yang Pei 歐陽霈 碩士 國立彰化師範大學 數學系所 99 Given a continuous linear functional(equation),we want to seek a function(equation)of bounded variation on(equation)such that(equation)for all(equation).And this proof has two case: The first is that(equation),and the second is that(equation)is a general functional. For the first case, we define a function(equation),and proving something, and finally, define a function(equation),we can seek a function(equation)of bounded variation such that(equation).For the second case, first we define a function(equation), and proving something, and define a function(equation), and proving something, and finally, by Helly’s Theorem, and define a function(equation),we can seek a function(equation)of bounded variation such that(equation). Tzeng Shyuh-yaur 曾旭堯 2011 學位論文 ; thesis 16 en_US |
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碩士 === 國立彰化師範大學 === 數學系所 === 99 === Given a continuous linear functional(equation),we want to seek a function(equation)of bounded variation on(equation)such that(equation)for all(equation).And this proof has two case: The first is that(equation),and the second is that(equation)is a general functional. For the first case, we define a function(equation),and proving something, and finally, define a function(equation),we can seek a function(equation)of bounded variation such that(equation).For the second case, first we define a function(equation), and proving something, and define a function(equation), and proving something, and finally, by Helly’s Theorem, and define a function(equation),we can seek a function(equation)of bounded variation such that(equation).
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Tzeng Shyuh-yaur |
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Tzeng Shyuh-yaur Ou-Yang Pei 歐陽霈 |
author |
Ou-Yang Pei 歐陽霈 |
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Ou-Yang Pei 歐陽霈 Bounded Linear Functionals on C[0, 1] |
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Ou-Yang Pei |
title |
Bounded Linear Functionals on C[0, 1] |
title_short |
Bounded Linear Functionals on C[0, 1] |
title_full |
Bounded Linear Functionals on C[0, 1] |
title_fullStr |
Bounded Linear Functionals on C[0, 1] |
title_full_unstemmed |
Bounded Linear Functionals on C[0, 1] |
title_sort |
bounded linear functionals on c[0, 1] |
publishDate |
2011 |
url |
http://ndltd.ncl.edu.tw/handle/55382601437411728406 |
work_keys_str_mv |
AT ouyangpei boundedlinearfunctionalsonc01 AT ōuyángpèi boundedlinearfunctionalsonc01 |
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1718220451710238720 |