English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

To Professor H. J. Ettlinger on the occasion of completion of fifty years of continuous and outstanding service to his students at the University of Texas. 1. Introduction. The problem of obtaining representations of continuous linear transformations has been of interest for quite some time. (For an extensive bibliography of such theorems to 1958 see [l].) This note is for the purpose of giving one more such representation. The general setting for the problem is as follows. Suppose X and F are linear normed spaces, C is the set of continuous functions from the interval [0, 1 ] into X and B is the space B [X, Y] of bounded linear transformations from X into Y. Given a "suitable" norm on the collection C and perhaps some further restrictions on X and Y, find a representation for all (or even some subset of) the continuous linear transformations from C into F. If X=Y=the (real or complex) numbers and ||/|| =max |/(t)|. we know already the classical result given in 1909 by F. Riesz [5] giving a representation in terms of a

A representation theorem for a continuous linear transformation on a space of continuous functions