Contents of Volume 4, Number 6
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- On the roots of equation $f(x)=\xi$ where $f(x)$ is real and continuous in $(a,b)$ but monotonic in no subinterval of $(a,b)$
- K. Padmavally
- Proc. Amer. Math. Soc. 4 (1953), 839-841
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059341-3
- A note on preharmonic functions
- A. C. Allen and B. H. Murdoch
- Proc. Amer. Math. Soc. 4 (1953), 842-852
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060650-2
- A theorem of Phragmén-Lindelöf type
- Alfred Huber
- Proc. Amer. Math. Soc. 4 (1953), 852-857
- DOI: https://doi.org/10.1090/S0002-9939-1953-0061747-3
- An inequality involving Bessel functions of argument nearly equal to their order
- Keeve M. Siegel
- Proc. Amer. Math. Soc. 4 (1953), 858-859
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058775-0
- On restrictions of operators
- John Wermer
- Proc. Amer. Math. Soc. 4 (1953), 860-865
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059470-4
- On algebras of continuous functions
- John Wermer
- Proc. Amer. Math. Soc. 4 (1953), 866-869
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058877-9
- Solution of Bernstein’s approximation problem
- Harry Pollard
- Proc. Amer. Math. Soc. 4 (1953), 869-875
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058665-3
- On the solutions of second order linear differential equations
- Choy-Tak Taam
- Proc. Amer. Math. Soc. 4 (1953), 876-879
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060102-X
- The inversion of convolution transforms by differential operators
- Charles Fox
- Proc. Amer. Math. Soc. 4 (1953), 880-887
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058744-0
- The exchange formula for distributions and spans of translates
- R. E. Edwards
- Proc. Amer. Math. Soc. 4 (1953), 888-894
- DOI: https://doi.org/10.1090/S0002-9939-1953-0064907-0
- A derivative test for finite solutions of games
- I. Glicksberg
- Proc. Amer. Math. Soc. 4 (1953), 895-897
- DOI: https://doi.org/10.1090/S0002-9939-1953-0062409-9
- A condition that $\lim _ {n\to \infty }n^ {-1}T^ n=0$
- R. K. Ritt
- Proc. Amer. Math. Soc. 4 (1953), 898-899
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059471-6
- Zeros of self-inversive polynomials
- Germán Ancochea
- Proc. Amer. Math. Soc. 4 (1953), 900-902
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058748-8
- Measure extensions and the martingale convergence theorem
- Shu-Teh Chen Moy
- Proc. Amer. Math. Soc. 4 (1953), 902-907
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058903-7
- The impossibility of Fano’s configuration in a projective plane with eight points per line
- William A. Pierce
- Proc. Amer. Math. Soc. 4 (1953), 908-912
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058985-2
- Uniqueness of the projective plane with $57$ points
- Marshall Hall
- Proc. Amer. Math. Soc. 4 (1953), 912-916
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058986-4
- Minimal sets of visibility
- F. A. Valentine
- Proc. Amer. Math. Soc. 4 (1953), 917-921
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058996-7
- The $1$-factors of oriented graphs
- W. T. Tutte
- Proc. Amer. Math. Soc. 4 (1953), 922-931
- DOI: https://doi.org/10.1090/S0002-9939-1953-0063009-7
- On semi-simple Lie algebras
- Jean Dieudonné
- Proc. Amer. Math. Soc. 4 (1953), 931-932
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059262-6
- A special congruence
- L. Carlitz
- Proc. Amer. Math. Soc. 4 (1953), 933-936
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058621-5
- A note on abelian groups
- L. Carlitz
- Proc. Amer. Math. Soc. 4 (1953), 937-938
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059270-5
- Right alternative rings
- Erwin Kleinfeld
- Proc. Amer. Math. Soc. 4 (1953), 939-944
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059888-X
- Noncommutative extensions of Hilbert rings
- Charles W. Curtis
- Proc. Amer. Math. Soc. 4 (1953), 945-955
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059254-7
- Infinite-dimensional quadratic forms admitting composition
- Irving Kaplansky
- Proc. Amer. Math. Soc. 4 (1953), 956-960
- DOI: https://doi.org/10.1090/S0002-9939-1953-0059895-7
- An application of the Mauro Picone theorem for heat conduction
- George W. Evans
- Proc. Amer. Math. Soc. 4 (1953), 961-968
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058839-1
- Continuity and homeomorphism groups
- Robert Ellis
- Proc. Amer. Math. Soc. 4 (1953), 969-973
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060807-0
- Concerning certain types of webs
- Mary-Elizabeth Hamstrom
- Proc. Amer. Math. Soc. 4 (1953), 974-978
- DOI: https://doi.org/10.1090/S0002-9939-1953-0061376-1
- Another remark on “Some problems in conformal mapping”
- James A. Jenkins
- Proc. Amer. Math. Soc. 4 (1953), 978-981
- DOI: https://doi.org/10.1090/S0002-9939-1953-0058716-6
- Stepanoff flows on the torus
- John C. Oxtoby
- Proc. Amer. Math. Soc. 4 (1953), 982-987
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060812-4
- On an open question concerning fixed points
- Wayman L. Strother
- Proc. Amer. Math. Soc. 4 (1953), 988-993
- DOI: https://doi.org/10.1090/S0002-9939-1953-0060226-7
- Errata, volume 3; Errata, volume 4
- Proc. Amer. Math. Soc. 4 (1953), 993
- DOI: https://doi.org/10.1090/S0002-9939-53-99969-9