# Weakly continuous functions of Baire class 1.

Extracta Mathematicae (2000)

- Volume: 15, Issue: 1, page 207-212
- ISSN: 0213-8743

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topRao, T. S. S. R. K.. "Weakly continuous functions of Baire class 1.." Extracta Mathematicae 15.1 (2000): 207-212. <http://eudml.org/doc/38625>.

@article{Rao2000,

abstract = {For a compact Hausdorff space K and a Banach space X, let WC(K,X) denote the space of X-valued functions defined on K, that are continuous when X has the weak topology. In this note by a simple Banach space theoretic argument, we show that given f belonging to WC(K,X) there exists a net \{fa\} contained in C(K,X) (space of norm continuous functions) such that fa --> f pointwise w.r.t. the norm topology on X. Such a function f is said to be of Baire class 1.},

author = {Rao, T. S. S. R. K.},

journal = {Extracta Mathematicae},

keywords = {Espacios de Banach; Espacio de Banach localmente compacto; Funciones casi continuas; Espacios de Baire; countable chain condition},

language = {eng},

number = {1},

pages = {207-212},

title = {Weakly continuous functions of Baire class 1.},

url = {http://eudml.org/doc/38625},

volume = {15},

year = {2000},

}

TY - JOUR

AU - Rao, T. S. S. R. K.

TI - Weakly continuous functions of Baire class 1.

JO - Extracta Mathematicae

PY - 2000

VL - 15

IS - 1

SP - 207

EP - 212

AB - For a compact Hausdorff space K and a Banach space X, let WC(K,X) denote the space of X-valued functions defined on K, that are continuous when X has the weak topology. In this note by a simple Banach space theoretic argument, we show that given f belonging to WC(K,X) there exists a net {fa} contained in C(K,X) (space of norm continuous functions) such that fa --> f pointwise w.r.t. the norm topology on X. Such a function f is said to be of Baire class 1.

LA - eng

KW - Espacios de Banach; Espacio de Banach localmente compacto; Funciones casi continuas; Espacios de Baire; countable chain condition

UR - http://eudml.org/doc/38625

ER -

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