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

Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply Cancel reply

Enter your comment here...

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

Email (required) (Address never made public)

Name (required)

Website

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

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

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

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.

Đề mục
Phân loại
- Các Bài Tập Nhỏ (127)
- Counter-examples (3)
- Giải Tích Cổ Điển (113)
  - Giải Tích 1 (28)
  - Giải Tích 2 (35)
  - Giải Tích 3 (17)
  - Giải Tích 4 (13)
  - Giải Tích 5 (28)
- Giải Tích Hiện Đại (81)
  - Giải Tích 6 (MA5205) (27)
  - Giải tích 7 (MA4247) (23)
  - Giải tích 8 (MA5206) (11)
  - Giải tích 9 (MA5265) (20)
- Liên Kết (1)
- Linh Tinh (75)
- Luận Văn (5)
- Nghiên Cứu Khoa Học (97)
- PDEs (158)
- Riemannian geometry (102)
- Sách Hay (6)
- Đề Thi (33)
Tìm kiếm

Search for:
Lưu trữ
- October 2021 (1)
- July 2021 (1)
- June 2021 (1)
- March 2021 (1)
- April 2020 (1)
- April 2019 (1)
- October 2018 (1)
- September 2018 (1)
- October 2017 (2)
- February 2017 (1)
- December 2016 (1)
- September 2016 (1)
- April 2016 (1)
- August 2015 (1)
- April 2015 (3)
- March 2015 (1)
- February 2015 (2)
- January 2015 (2)
- December 2014 (3)
- November 2014 (1)
- October 2014 (1)
- September 2014 (1)
- August 2014 (1)
- July 2014 (2)
- April 2014 (2)
- March 2014 (5)
- February 2014 (2)
- January 2014 (4)
- December 2013 (2)
- November 2013 (6)
- October 2013 (5)
- September 2013 (2)
- June 2013 (2)
- May 2013 (2)
- April 2013 (3)
- March 2013 (3)
- February 2013 (1)
- January 2013 (6)
- December 2012 (8)
- October 2012 (2)
- September 2012 (2)
- August 2012 (3)
- May 2012 (3)
- April 2012 (2)
- March 2012 (2)
- February 2012 (3)
- January 2012 (1)
- December 2011 (1)
- November 2011 (4)
- October 2011 (2)
- September 2011 (2)
- August 2011 (2)
- July 2011 (3)
- June 2011 (6)
- May 2011 (10)
- April 2011 (12)
- March 2011 (10)
- February 2011 (7)
- January 2011 (8)
- December 2010 (3)
- November 2010 (5)
- October 2010 (4)
- September 2010 (9)
- August 2010 (10)
- July 2010 (11)
- June 2010 (11)
- May 2010 (24)
- April 2010 (18)
- March 2010 (13)
- February 2010 (18)
- January 2010 (16)
- December 2009 (14)
- November 2009 (11)
- October 2009 (5)
- September 2009 (5)
- August 2009 (14)
- July 2009 (9)
- June 2009 (8)
- May 2009 (8)
- April 2009 (3)
- March 2009 (4)
- February 2009 (2)
- January 2009 (7)
- December 2008 (5)
- November 2008 (6)
- October 2008 (2)
- September 2008 (4)
- August 2008 (5)
- June 2008 (4)
- May 2008 (6)
- April 2008 (8)
- March 2008 (7)
- February 2008 (1)
- January 2008 (18)
- December 2007 (5)
- November 2007 (9)
- October 2007 (25)
- September 2007 (38)
- August 2007 (10)
- May 2007 (1)
Liên Kết
Đồng nghiệp
Bài gửi gần đây
Từ khoá

argument principle asympotic behavior Aubin's inequality Bochner formula bootstrap argument Brezis-Lieb lemma Brezis-Merle's inequality Caffarelli–Kohn–Nirenberg's inequality Calderón-Zygmund Casorati-Weierstrass co-area formula complex integral Concentration-Compactness conformal changes conformally invariant equation decreasing reaarangement De Giorgi's theorem essential singularities estimates fixed-point principle Fourier transform fractional Laplacian Gagliardo-Nirenberg-Sobolev's inequality Gagliardo-Nirenberg’s inequality Gaussian curvature General Relativity Glaeser inequality Green functions Hardy's inequality Horgan's inequality Hölder continuous implicit function theorem increasing rearrangement inequalities invariance Karush–Kuhn–Tucker conditions Kelvin transform Killing operator Lichnerowicz equations Lieb theorem logarithmic Sobolev's inequality Maximum Principle mean curvature mean field equation method of sup- and super-solutions Moser-Trudinger's inequality moving planes moving spheres MuPAD Nash's inequality Nash-Moser's iteration norm of tensors Onofri's inequality Opial's inequality Paneitz operator Picone identity Pohozaev identities Q-curvature Rayleigh quotient regularity theory Rellich's inequality Rellich-Kondrachov Ricci tensor Riesz potential Schur Serrin's inequality Sobolev's inequality sphere mean stereographic projection sup- and super-solutions surface integrals symmetrization Trudinger's inequality Yamabe Yamabe problem
Lịch

January 2008

M T W T F S S

1 2 3 4 5 6

7 8 9 10 11 12 13

14 15 16 17 18 19 20

21 22 23 24 25 26 27

28 29 30 31

« Dec Feb »

Số người đang xem
Thống kê
- 403,166 lượt xem

Blog at WordPress.com.

%d bloggers like this: