On the spectrum of the cesaro operator
| dc.contributor.author | Okutoyi, J. I. | |
| dc.date.accessioned | 2012-05-24T12:44:41Z | |
| dc.date.available | 2012-05-24T12:44:41Z | |
| dc.date.issued | 2012-05-24 | |
| dc.description | The QA 8.7 O38 | en_US |
| dc.description.abstract | This thesis consists of four chapters. In chapter one, we determine the most general continuous linear functional f X, where X is any semiconservative BK-space with +) as its Schauder basis. We also determine the necessary and sufficient conditions for(Ak)°bv°(X), bv(X), where Ak B(X, Y), X and Y are any Banach spaces. In chapter two, we study the general FH-spaces with H = S, where S is the space of all double sequences in which coordinates are continuous. We then specialize and obtain the relation between c(c) , c(c), c(c) and RCN. We also prove that c(c) = RC. In chapter three, we determine the spectrum of the Cesaro operator C1 = (C, 1) on c, bv, bv, wp (0) and wp (1p < ). In chapter four, we study 4-dimensional matrices and then go on to determine the spectrum of the Cesaro operator C11 = (C, 1,1) on c(c) by a direct method. A method, which consists of both classical and analytical techniques. | en_US |
| dc.description.sponsorship | Kenyatta University | en_US |
| dc.identifier.uri | http://ir-library.ku.ac.ke/handle/123456789/4772 | |
| dc.language.iso | en | en_US |
| dc.subject | Mathematical research | |
| dc.title | On the spectrum of the cesaro operator | en_US |
| dc.type | Thesis | en_US |