Analisis fungsi

Analisis fungsi ialah satu cabang analisis matematik, teras yang dibentuk oleh kajian ruang vektor diberikan beberapa jenis struktur berkaitan had (cth. hasil dalam, norma, topologi, dll.) dan fungsi linear ditakrifkan pada ruang ini.Ia mematuhi struktur ini dalam persamaan yang sesuai. Sejarah analisis fungsi bermula pada kajian ruang fungsi dan perumusan sifat transformasi fungsi seperti transformasi Fourier sebagai transformasi yang mentakrifkan operator berterusan, unitari dan lain-lain antara ruang fungsi. Ini pandangan ternyata menjadi amat berguna untuk kajian pengkamiran dan persamaan kamiran.

Bacaan lanjut
 Aliprantis, C.D., Border, K.C.: Infinite Dimensional Analysis: A Hitchhiker's Guide, 3rd ed., Springer 2007, . Online  (by subscription)
 Bachman, G., Narici, L.: Functional analysis, Academic Press, 1966. (reprint Dover Publications)
 Banach S. Theory of Linear Operations. Volume 38, North-Holland Mathematical Library, 1987, 
 Brezis, H.: Analyse Fonctionnelle, Dunod  or 
 Conway, J. B.: A Course in Functional Analysis, 2nd edition, Springer-Verlag, 1994, 
 Dunford, N. and Schwartz, J.T.: Linear Operators, General Theory, John Wiley & Sons, and other 3 volumes, includes visualization charts
 Edwards, R. E.: Functional Analysis, Theory and Applications, Hold, Rinehart and Winston, 1965.
 Eidelman, Yuli, Vitali Milman, and Antonis Tsolomitis: Functional Analysis: An Introduction, American Mathematical Society, 2004.
 Friedman, A.: Foundations of Modern Analysis, Dover Publications, Paperback Edition, July 21, 2010
 Giles,J.R.: Introduction to the Analysis of Normed Linear Spaces,Cambridge University Press,2000
 Hirsch F., Lacombe G. - "Elements of Functional Analysis", Springer 1999.
 Hutson, V., Pym, J.S., Cloud M.J.: Applications of Functional Analysis and Operator Theory, 2nd edition, Elsevier Science, 2005, 
 Kantorovitz, S.,Introduction to Modern Analysis, Oxford University Press,2003,2nd ed.2006.
 Kolmogorov, A.N and Fomin, S.V.: Elements of the Theory of Functions and Functional Analysis, Dover Publications, 1999
 Kreyszig, E.: Introductory Functional Analysis with Applications, Wiley, 1989.
 Lax, P.: Functional Analysis, Wiley-Interscience, 2002, 
 Lebedev, L.P. and Vorovich, I.I.: Functional Analysis in Mechanics, Springer-Verlag, 2002
 Michel, Anthony N. and Charles J. Herget: Applied Algebra and Functional Analysis, Dover, 1993.
 Pietsch, Albrecht: History of Banach spaces and linear operators, Birkhäuser Boston Inc., 2007, 
 Reed, M., Simon, B.: "Functional Analysis", Academic Press 1980.
 Riesz, F. and Sz.-Nagy, B.: Functional Analysis, Dover Publications, 1990
 Rudin, W.: Functional Analysis,  McGraw-Hill Science, 1991
 Saxe, Karen: Beginning Functional Analysis, Springer, 2001
 Schechter, M.: Principles of Functional Analysis, AMS, 2nd edition, 2001
 Shilov, Georgi E.: Elementary Functional Analysis, Dover, 1996.
 Sobolev, S.L.: Applications of Functional Analysis in Mathematical Physics, AMS, 1963
 Vogt, D., Meise, R.: Introduction to Functional Analysis, Oxford University Press, 1997.
 Yosida, K.: Functional Analysis, Springer-Verlag, 6th edition, 1980

Pautan luar 

 
 Topics in Real and Functional Analysis by Gerald Teschl, University of Vienna.
 Lecture Notes on Functional Analysis by Yevgeny Vilensky, New York University.
 Lecture videos on functional analysis by Greg Morrow from University of Colorado Colorado Springs

Analisis fungsi