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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Some aspects of generalized numerical ranges and numerical radii associated with positive semi-definite functions

陳志輝, Chan, Chi-fai, Alan Bryan. January 1993 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy
2

Beurling spaces, a class of normed Köthe spaces

Eijnsbergen, Adrianus Cornelis van, January 1967 (has links)
Proefschrift--Leyden. / In English; summary in Dutch. Bibliography: p. 61.
3

Some aspects of generalized numerical ranges and numerical radii associated with positive semi-definite functions /

Chan, Chi-fai, Alan Bryan. January 1993 (has links)
Thesis (Ph. D.)--University of Hong Kong, 1993. / Photocopy from microfilm of typescript.
4

Beurling spaces, a class of normed Köthe spaces

Eijnsbergen, Adrianus Cornelis van, January 1967 (has links)
Proefschrift--Leyden. / In English; summary in Dutch. Bibliography: p. 61.
5

Approximation with vector-valued norms in linear spaces

Bacopoulos, Alexander Constantine, January 1966 (has links)
Thesis (Ph. D.)--University of Wisconsin, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
6

On some non-Archimedean normed linear spaces

Robert, Joseph Pierre January 1965 (has links)
A class of complete non-Archimedean pseudo-normed linear spaces for which the field of scalars has a trivial valuation is introduced; we call these spaces "V-spaces." V-spaces differ from the classical normed linear spaces in that the homogeneity of the norm is replaced by the requirement that llαxll = llxll for all x and all scalars α≠0; the usual triangle inequality is modified to [ Equation omitted ] and it is assumed that the norm of an element is either zero or is equal to ρⁿ for a fixed real ρ > 1 and some integer n. The concept of a "distinguished basis" in a V-space is defined. By use of a modified form of Riesz's Lemma, it is shown that every V-space admits a distinguished basis. Each element of a V-space then has a uniquely determined series expansion in terms of the elements of a given distinguished basis. An analogue of the Paley-Wiener Theorem is proved for distinguished bases. Properties of distinguished bases are exploited throughout this work. Linear and non-linear operators on V-spaces are also studied. In the usual way, a norm is defined under which the set of bounded operators is a V-space and the set of bounded linear operators is a "V-algebra." A characterization of bounded linear operators is given as well as theorems on spectral decompositions. Under certain assumptions on the expansions of x, y, A, the existence of solutions to equations of the form xz = y in V-algebras, and of the form Ax = y in arbitrary V-spaces is proved. Approximations of the solutions are obtained. A representation theorem for continuous linear functionals on a V-space is given. This representation uses an analogue of the classical inner product. Examples of V-spaces and V-algebras discussed include spaces of functions from a Hausdorff space to a normed linear space, on which the pseudo-norm characterizes the asymptotic behaviour of the functions. Some results of the theory of pure asymptotics are extended to arbitrary V-spaces. / Science, Faculty of / Mathematics, Department of / Graduate
7

Absolutely p-summing and strongly q-summing mappings in normed spaces.

January 1977 (has links)
Thesis (M.Phil.)--Chinese University of Hong Kong. / Bibliography: leaf [47]
8

Some results on generalized numerical ranges /

Poon, Yiu Tung, January 1980 (has links)
Thesis--M. Phil., University of Hong Kong, 1980.
9

Some results on generalized numerical ranges

Poon, Yiu-tung, 潘耀東 January 1980 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
10

Chebyshev centers and best simultaneous approximation in normed linear spaces

Taylor, Barbara J. January 1988 (has links)
No description available.

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