Abstract
A seminorm with square property on a real associative algebra is submultiplicative.
Similar content being viewed by others
References
M. Abel and K. Jarosz, Noncommutative uniform algebras, Studia Math., 162 (2004), 213–218.
J. Arhippainen, On locally pseudoconvex square algebras, Publicacions Matemàtiques, 39 (1995), 89–93.
S. J. Bhatt and D. J. Karia, Uniqueness of the uniform norm with an application to topological algebras, Proc. Amer. Math. Soc., 116 (1992), 499–504.
S. J. Bhatt, A seminorm with square property on a Banach algebra is submultiplicative, Proc. Amer Math. Soc., 117 (1993), 435–438.
H. V. Dedania, A seminorm with square property is automatically submultiplicative, Proc. Indian. Acad. Sci. (Math. Sci.), 108 (1998), 51–53.
R. A. Hirschfeld and W. Zelazko, On spectral norm Banach algebras, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys., 16 (1968), 195–199.
Z. Sebestyen, A seminorm with square property on a complex associative algebra is submultiplicative, Proc. Amer. Math. Soc., 130 (2001), 1993–1996.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
El Azhari, M. A real seminorm with square property is submultiplicative. Indian J Pure Appl Math 43, 303–307 (2012). https://doi.org/10.1007/s13226-012-0018-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13226-012-0018-z