非局部凸空间的Hahn-Banach定理及Banach包络

Hahn-Banach Extension Property and Banach Envelope of Non-locally Convex Spaces

研究了非局部凸空间的Hahn-Banach定理及Banach包络.应用K-空间理论说明不是所有的真闭弱稠子空间都具有Hahn-Banach延拓性;构造了一个非局部凸空间,其Banach包络同构于0.

This paper discusses the Hahn-Banach extension property and Banach envelope of non-locally convex spaces, and shows that not all PCDW subspaces have S-Ht3EP by K-spaces theory. We construct a non-loccally convex spase whose t3anach envelope is isomorphic to C0.