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1 
Some aspects of generalized numerical ranges and numerical radii associated with positive semidefinite functions陳志輝, Chan, Chifai, Alan Bryan. January 1993 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy

2 
Beurling spaces, a class of normed Köthe spacesEijnsbergen, Adrianus Cornelis van, January 1967 (has links)
ProefschriftLeyden. / In English; summary in Dutch. Bibliography: p. 61.

3 
Some aspects of generalized numerical ranges and numerical radii associated with positive semidefinite functions /Chan, Chifai, 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 spacesEijnsbergen, Adrianus Cornelis van, January 1967 (has links)
ProefschriftLeyden. / In English; summary in Dutch. Bibliography: p. 61.

5 
Approximation with vectorvalued norms in linear spacesBacopoulos, Alexander Constantine, January 1966 (has links)
Thesis (Ph. D.)University of Wisconsin, 1966. / Typescript. Vita. eContent providerneutral record in process. Description based on print version record. Includes bibliographical references.

6 
On some nonArchimedean normed linear spacesRobert, Joseph Pierre January 1965 (has links)
A class of complete nonArchimedean pseudonormed linear spaces for which the field of scalars has a trivial valuation is introduced; we call these spaces "Vspaces."
Vspaces 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 Vspace is defined. By use of a modified form of Riesz's Lemma, it is shown that every Vspace admits a distinguished basis. Each element of a Vspace then has a uniquely determined series expansion in terms of the elements of a given distinguished basis. An analogue of the PaleyWiener Theorem is proved for distinguished bases. Properties of distinguished bases are exploited throughout this work.
Linear and nonlinear operators on Vspaces are also studied. In the usual way, a norm is defined under which the set of bounded operators is a Vspace and the set of bounded linear operators is a "Valgebra." 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 Valgebras, and of the form Ax = y in arbitrary Vspaces is proved. Approximations of the solutions are obtained.
A representation theorem for continuous linear functionals on a Vspace is given. This representation uses an analogue of the classical inner product.
Examples of Vspaces and Valgebras discussed include spaces of functions from a Hausdorff space to a normed linear space, on which the pseudonorm characterizes the asymptotic behaviour of the functions. Some results of the theory of pure asymptotics are extended to arbitrary Vspaces. / Science, Faculty of / Mathematics, Department of / Graduate

7 
Absolutely psumming and strongly qsumming 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)
ThesisM. Phil., University of Hong Kong, 1980.

9 
Some results on generalized numerical rangesPoon, Yiutung, 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 spacesTaylor, Barbara J. January 1988 (has links)
No description available.

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