Ngô Quốc Anh

January 7, 2008

Tính compact của toán tử tuyến tính và đạo hàm của nó

Filed under: Các Bài Tập Nhỏ, Linh Tinh — Ngô Quốc Anh @ 20:58

Let G be an open set in Banach space X. Assume that G \to X is a compact operator and x_0 \in G. If f'(x_0) exists, then f'(x_0) is also a compact operator.

\displaystyle \boxed{ f : G \to X \text{ is compact}} \xrightarrow{{f'\left( {x_0 } \right)\text{ exists}}} \boxed{f'(x_0) : X \to X \text{ is compact}}.

Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Blog at

%d bloggers like this: