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Adjustments added to LCH spaces.
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@book{Taylor,
title={Partial Differential Equations: Basic Theory},
author={Taylor, M.E.},
isbn={9780387946542},
lccn={lc95054104},
series={Applied mathematical sciences},
url={https://books.google.ca/books?id=vISPd8QJfHoC},
year={1996},
publisher={Springer}
}
@book{Evans,
title={Partial Differential Equations},
author={Evans, L.C.},
isbn={9780821807729},
lccn={97041033},
series={Graduate studies in mathematics},
url={https://books.google.ca/books?id=5Pv4LVB_m8AC},
year={1998},
publisher={American Mathematical Society}
}
@book{Chavel,
title={Eigenvalues in Riemannian Geometry},
author={Chavel, I. and Randol, B. and Dodziuk, J.},
isbn={9780080874340},
series={Pure and Applied Mathematics},
url={https://books.google.ca/books?id=0v1VfTWuKGgC},
year={1984},
publisher={Academic Press}
}
@book{Bourbaki,
title={General topology: chapters 1--4},
author={Bourbaki, Nicolas},
volume={18},
year={2013},
publisher={Springer Science \& Business Media}
}
@book{SchaeferWolff,
title={Topological Vector Spaces},
author={Schaefer, H.H. and Wolff, M.P.H.},
isbn={9780387987262},
lccn={98053842},
series={Graduate Texts in Mathematics},
url={https://books.google.ca/books?id=9kXY742pABoC},
year={1999},
publisher={Springer New York}
}
@book{Lang,
title={Real and Functional Analysis},
author={Lang, S.},
isbn={9780387940014},
lccn={92021208},
series={Graduate Texts in Mathematics},
url={https://books.google.ca/books?id=_3F4opD1X84C},
year={1993},
publisher={Springer New York}
}
@book{Folland,
title={Real Analysis: Modern Techniques and Their Applications},
author={Folland, G.B.},
isbn={9780471317166},
lccn={98037260},
series={Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts},
url={https://books.google.ca/books?id=N8jVDwAAQBAJ},
year={1999},
publisher={Wiley}
}
@book{Baudoin,
title={Diffusion Processes and Stochastic Calculus},
author={Baudoin, F.},
isbn={9783037191330},
lccn={2014395958},
series={EMS textbooks in mathematics},
url={https://books.google.ca/books?id=ov4kcKkzTP4C},
year={2014},
publisher={European Mathematical Society}
}
@book{Brezis,
title={Functional Analysis, Sobolev Spaces and Partial Differential Equations},
author={Brezis, H.},
isbn={9780387709130},
lccn={2010938382},
series={Universitext},
url={https://books.google.ca/books?id=GAA2XqOIIGoC},
year={2010},
publisher={Springer New York}
}
@book{Bogachev,
title={Topological Vector Spaces and Their Applications},
author={Bogachev, Vladimir I. and Smolyanov, Oleg G.},
year={2017},
publisher={Springer},
address={Cham},
series={Springer Monographs in Mathematics},
isbn={978-3-319-57117-1},
doi={10.1007/978-3-319-57117-1}
}
@book{Cartan,
title={Differential Calculus},
author={Cartan, H.},
isbn={9780901665140},
series={International studies in mathematics},
url={https://books.google.ca/books?id=ZFgZAQAAIAAJ},
year={1983},
publisher={Hermann}
}
@article{HensgenSinger,
title={A simple proof of Singers representation theorem},
author={Hensgen, Wolfgang},
journal={Proceedings of the American Mathematical Society},
volume={124},
number={10},
pages={3211--3212},
year={1996}
}
@book{ConwayComplex,
title={Functions of One Complex Variable I},
author={Conway, J.B.},
isbn={9780387903286},
lccn={lc78018836},
series={Functions of one complex variable / John B. Conway},
url={https://books.google.ca/books?id=9LtfZr1snG0C},
year={1978},
publisher={Springer}
}
@book{Zhu,
title={An Introduction to Operator Algebras},
author={Zhu, K.},
isbn={9780849378751},
lccn={93007172},
series={Studies in Advanced Mathematics},
url={https://books.google.ca/books?id=XHLj7bz8hOIC},
year={1993},
publisher={Taylor \& Francis}
}
@book{FollandHarmonic,
title={A Course in Abstract Harmonic Analysis},
author={Folland, G.B.},
isbn={9781498727150},
series={Textbooks in Mathematics},
url={https://books.google.ca/books?id=z-GYCgAAQBAJ},
year={2016},
publisher={CRC Press}
}
@book{Takesaki1,
title={Theory of Operator Algebras I},
author={Takesaki, M.},
isbn={9783540422488},
lccn={79013655},
series={Encyclopaedia of Mathematical Sciences},
url={https://books.google.ca/books?id=38QIwQEACAAJ},
year={2001},
publisher={Springer Berlin Heidelberg}
}
@unpublished{MarcouxNotes,
author = {Laurent W. Marcoux},
title = {An Introduction to Banach Algebras and Operator Algebras},
year = {2021},
month = apr,
url = {https://www.math.uwaterloo.ca/~lwmarcou/notes/pmath810.pdf},
note = {Unpublished lecture notes, Department of Pure Mathematics,
University of Waterloo. Draft dated April 30, 2021.
Potential victim of Google search scraping. },
institution = {University of Waterloo},
}
@techreport{aronszajn1964interpolation,
title={Interpolation spaces and interpolation methods},
author={Aronszajn, Nachman and Gagliardo, Emilio},
year={1964}
}
@book{brudnyi1991interpolation,
title={Interpolation functors and interpolation spaces},
author={Brudnyi, Yu A and Krugljak, N Ya},
volume={47},
year={1991},
publisher={Elsevier}
}
@book{PietschHistory,
title={History of Banach spaces and linear operators},
author={Pietsch, Albrecht},
year={2007},
publisher={Springer}
}
@book{BerghInterpolation,
author = {Bergh, Jöran and Löfström, Jörgen},
title = {Interpolation Spaces: An Introduction},
series = {Grundlehren der Mathematischen Wissenschaften},
volume = {223},
publisher = {Springer-Verlag},
address = {Berlin--New York},
year = {1976},
pages = {x+207},
isbn = {3-540-07875-4},
mrnumber = {0482275}
}
@book{Yosida,
title={Functional analysis},
author={Yosida, Kösaku},
year={2012},
publisher={Springer Science \& Business Media}
}
@article{LindenstraussTzafriri1971,
author = {Lindenstrauss, Joram and Tzafriri, Lior},
title = {On the complemented subspaces problem},
journal = {Israel Journal of Mathematics},
volume = {9},
number = {2},
pages = {263--269},
year = {1971},
doi = {10.1007/BF02771592}
}
@misc {StackRadonDual,
title = {How to understand C(X)'' = bounded Borel measurable functions?},
author = {Edgar, G.A.},
howpublished = {Mathematics Stack Exchange},
note = {URL:https://math.stackexchange.com/q/392719 (version: 2013-05-15)},
eprint = {https://math.stackexchange.com/q/392719},
url = {https://math.stackexchange.com/q/392719}
}
@book{Clarke,
author = {Clarke, Francis},
title = {Functional Analysis, Calculus of Variations and Optimal Control},
series = {Graduate Texts in Mathematics},
volume = {264},
publisher = {Springer},
address = {London},
year = {2013},
doi = {10.1007/978-1-4471-4820-3},
isbn = {978-1-4471-4820-3}
}
@book{CohnMeasure,
author = {Cohn, Donald L.},
title = {Measure Theory},
edition = {2nd},
series = {Birkhäuser Advanced Texts Basler Lehrbücher},
publisher = {Birkhäuser},
address = {New York},
year = {2013},
isbn = {978-1-4614-6955-1},
doi = {10.1007/978-1-4614-6956-8}
}
@book{Munkres,
author = {Munkres, James R.},
title = {Topology},
edition = {2nd},
publisher = {Prentice Hall},
address = {Upper Saddle River, NJ},
year = {2000},
isbn = {0-13-181629-2}
}