Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-23T05:28:14.062Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  31 October 2024

Adam Bobrowski
Affiliation:
Politechnika Lubelska, Poland
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Functional Analysis Revisited
An Essay on Completeness
, pp. 240 - 242
Publisher: Cambridge University Press
Print publication year: 2024

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramovich, Y. A. and Aliprantis, C. D.. An Invitation to Operator Theory, volume 50 of Graduate Studies in Mathematics. American Mathematical Society, 2002. (Cited on p. 49.)CrossRefGoogle Scholar
Adams, R. A. and Fournier, J. J. F.. Sobolev Spaces, volume 140 of Pure and Applied Mathematics (Amsterdam). Elsevier/Academic Press, second edition, 2003. (Cited on pp. 116 and 117.)Google Scholar
Åkerberg, B.. Classroom notes: A proof of the arithmetic-geometric mean inequality. Amer. Math. Monthly, 70 (9):997998, 1963. (Cited on p. 2.)CrossRefGoogle Scholar
Arendt, W.. Resolvent positive operators. Proc. Lond. Math. Soc. (3), 54:321349, 1987. (Cited on p. 231.)CrossRefGoogle Scholar
Arendt, W., Batty, C. J. K., Hieber, M., and Neubrander, F.. Vector-Valued Laplace Transforms and Cauchy Problems. Birkhäuser, 2001. (Cited on p. 231.)CrossRefGoogle Scholar
Banach, S.. Über die Baire’sche Kategorie gewisser Funktionenmengen. Studia Mathematica, 3:174179, 1931. (Cited on p. 187.)CrossRefGoogle Scholar
Banach, S. and Steinhaus, H.. Sur le principe de la condensation de singularités. Fundamenta Mathematica, 9:5061, 1927. (Cited on p. 185.)CrossRefGoogle Scholar
Banasiak, J. and Arlotti, L.. Perturbations of Positive Semigroups with Applications. Springer, 2006. (Cited on p. 231.)Google Scholar
Batty, C. J. K. and Robinson, D. W.. Positive one-parameter semigroups on ordered Banach spaces. Acta Appl. Math., 2:221296, 1984. (Cited on p. 231.)CrossRefGoogle Scholar
Bielecki, A.. Une remarque sur la méthode de Banach–Cacciopoli–Tikhonov. Bull. Polish Acad. Sci., 4:261268, 1956. (Cited on pp. 20 and 29.)Google Scholar
Bobrowski, A.. Functional Analysis for Probability and Stochastic Processes. An Introduction. Cambridge University Press, 2005. (Cited on pp. 79, 100, 166 and 180.)CrossRefGoogle Scholar
Bobrowski, A.. Generators of Markov Chains. From a Walk in the Interior to a Dance on the Boundary. Cambridge University Press, 2021. (Cited on pp. 180 and 233.)Google Scholar
Carothers, N. L.. A Short Course on Banach Space Theory, volume 64 of London Mathematical Society Student Texts. Cambridge University Press, 2004. (Cited on pp. 166 and 185.)CrossRefGoogle Scholar
Conway, J. B.. A Course in Functional Analysis, volume 96 of Graduate Texts in Mathematics. Springer-Verlag, second edition, 1990. (Cited on p. 77.)Google Scholar
Durrett, R.. Probability: Theory and Examples. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, fourth edition, 2010. (Cited on p. 180.)CrossRefGoogle Scholar
Edwards, R. E.. Functional Analysis. Theory and Applications. Dover Publications, 1995. (Cited on pp. 20 and 29.)Google Scholar
Engel, K.-J. and Nagel, R.. One-Parameter Semigroups for Linear Evolution Equations. Springer, 2000. (Cited on p. 225.)Google Scholar
Engel, K.-J. and Nagel, R.. A Short Course on Operator Semigroups. Springer, 2006. (Cited on p. 225.)Google Scholar
Evans, L. C.. Partial Differential Equations, volume 19 of Graduate Studies in Mathematics. American Mathematical Society, second edition, 2010. (Cited on p. 115.)Google Scholar
Feller, W.. An Introduction to Probability Theory and Its Applications, volume 1. Wiley, 1950. Third edition, 1970. (Cited on pp. 153, 158 and 170.)Google Scholar
Górnicki, J.. Okruchy matematyki. Wydawnictwo Naukowe PWN, 1995. (Cited on pp. 18 and 29.)Google Scholar
Hille, E. and Phillips, R. S.. Functional Analysis and Semi-Groups. American Mathematical Society Colloquia Publication 31. American Mathematical Society. 1957. (Cited on p. 65.)Google Scholar
Kallenberg, O.. Foundations of Modern Probability. Springer, 1997. (Cited on p. 100.)Google Scholar
Kato, T.. Perturbation Theory for Linear Operators. Classics in Mathematics Series. Springer, 1995, reprint of the 1980 edition. (Cited on p. 204.)CrossRefGoogle Scholar
Lasota, A. and Mackey, M. C.. Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics. Springer, 1994. (Cited on p. 233.)CrossRefGoogle Scholar
Lasota, A. and Myjak, J.. Generic properties of stochastic semigroups. Bull. Polish Acad. Sci. Math., 40 (4):283292, 1992. (Cited on p. 187.)Google Scholar
Lebedev, N. N.. Special Functions and Their Applications. Dover 1972. Revised edition, translated from the Russian and edited by Richard A. Silverman, unabridged and corrected republication. (Cited on p. 111.)Google Scholar
Maligranda, L.. Why Hölder’s inequality should be called Rogers’ inequality. Math. Inequal. Appl., 1 (1):6983, 1998. (Cited on p. 2.)Google Scholar
Mazurkiewicz, S.. Sur les fonctions non dérivables. Studia Mathematica, 3:9294, 1931. (Cited on p. 187.)CrossRefGoogle Scholar
Pazy, A.. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, 1983. (Cited on p. 225.)CrossRefGoogle Scholar
Pietsch, A.. History of Banach Spaces and Linear Operators. Birkhäuser Boston 2007. (Cited on pp. 166 and 185.)Google Scholar
Pinsky, M. A.. Partial Differential Equations and Boundary-Value Problems with Applications, volume 15 of Pure and Applied Undergraduate Texts. American Mathematical Society, 2011. Reprint of the third (1998) edition. (Cited on p. 115.)Google Scholar
Reed, M. and Simon, B.. Functional Analysis, volume 1 of Methods of Modern Mathematical Physics. Academic Press [Harcourt Brace Jovanovich], second edition, 1980. (Cited on p. 166.)Google Scholar
Rudin, W.. Principles of Mathematical Analysis. third edition, 1976. International Series in Pure and Applied Mathematics. McGraw-Hill. (Cited on pp. 3 and 10.)Google Scholar
Rudin, W.. Real and Complex Analysis. McGraw-Hill, third edition, 1987. (Cited on pp. 150 and 166.)Google Scholar
Rudnicki, R. and Tyran-Kamińska, M.. Piecewise Deterministic Processes in Biological Models. Springer Briefs in Applied Sciences and Technology (Springer Briefs in Mathematical Methods). Springer, 2017. (Cited on p. 233.)CrossRefGoogle Scholar
Ryan, R. A.. Introduction to Tensor Products of Banach Spaces. Springer, 2002. (Cited on p. 86.)CrossRefGoogle Scholar
Sokal, A. D.. A really simple elementary proof of the uniform boundedness theorem. Amer. Math. Monthly, 118 (5):450452, 2011. (Cited on p. 167.)CrossRefGoogle Scholar
Steinhaus, H.. Anwendungen der Funktionalanalysis auf einige Fragen der reellen Funktionentheorie. Fundamenta Mathematica, 1:5181, 1929. (Cited on p. 187.)Google Scholar
Tatarkiewicz, W .. Historia filozofii. Państwowe Wydawnictwo Naukowe, 1958. (Cited on pp. 5 and 6.)Google Scholar
Taylor, M. E.. Partial Differential Equations I. Basic Theory, volume 115 of Applied Mathematical Sciences. Springer, second edition, 2011. (Cited on p. 115.)CrossRefGoogle Scholar
Weinberger, H. F.. A First Course in Partial Differential Equations with Complex Variables and Transform Methods. Blaisdell 1965. (Cited on p. 115.)Google Scholar
Zemánek, J.. A simple proof of the Weierstrass–Stone theorem. Comment. Math. Prace Mat., 20 (2):495497 (loose errata), 1977/78. (Cited on p. 72.)Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • Adam Bobrowski, Politechnika Lubelska, Poland
  • Book: Functional Analysis Revisited
  • Online publication: 31 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781009430883.019
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • Adam Bobrowski, Politechnika Lubelska, Poland
  • Book: Functional Analysis Revisited
  • Online publication: 31 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781009430883.019
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • Adam Bobrowski, Politechnika Lubelska, Poland
  • Book: Functional Analysis Revisited
  • Online publication: 31 October 2024
  • Chapter DOI: https://doi.org/10.1017/9781009430883.019
Available formats
×