Displaying similar documents to “Semi-continuity of set-valued monotone mappings”

Monotone normality and extension of functions

Ian Stares (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of K 0 -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.

Lectures on maximal monotone operators.

R. R. Phelps (1997)

Extracta Mathematicae

Similarity:

These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.