Minimal incomplete norms on Banach algebras
Meyer, Michael
Studia Mathematica, Tome 103 (1992), p. 77-85 / Harvested from The Polish Digital Mathematics Library

We study the family of all not necessarily complete algebra norms on a semisimple Banach algebra as a partially ordered set and investigate the existence and properties of minimal elements.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:215915
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     author = {Michael Meyer},
     title = {Minimal incomplete norms on Banach algebras},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {77-85},
     zbl = {0814.46034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p77bwm}
}
Meyer, Michael. Minimal incomplete norms on Banach algebras. Studia Mathematica, Tome 103 (1992) pp. 77-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p77bwm/

[00000] [1] B. Aupetit, The uniqueness of the complete norm topology in Banach algebras and Banach Jordan algebras, J. Funct. Anal. 47 (1982), 1-6. | Zbl 0488.46043

[00001] [2] F. F. Bonsall, A minimal property of the norm in some Banach algebras, J. London Math. Soc. 29 (1954), 156-164.

[00002] [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973. | Zbl 0271.46039

[00003] [4] S. B. Cleveland, Homomorphisms of non-commutative *-algebras, Pacific J. Math. 13 (1963), 1097-1109. | Zbl 0205.42203

[00004] [5] J. Esterle, Normes d'algèbres minimales, topologie d'algèbre normée minimum sur certaines algèbres d'endomorphismes continus d'un espace normé, C. R. Acad. Sci. Paris Sér. A 277 (1973), 425-427. | Zbl 0268.46045

[00005] [6] M. J. Meyer, Minimal norms on SQDZ-Banach algebras, Proc. Roy. Irish Acad. 89A (1989), 127-133. | Zbl 0665.46041

[00006] [7] M. J. Meyer, The spectral extension property and extension of multiplicative linear functionals, Proc. Amer. Math. Soc. 112 (1991), 855-861. | Zbl 0744.46041

[00007] [8] T. W. Palmer, Spectral algebras, subalgebras and pseudonorms, Rocky Mountain J. Math., to appear.

[00008] [9] T. J. Ransford, A short proof of Johnson's theorem, Bull. London Math. Soc. 21 (1989), 487-488. | Zbl 0705.46028

[00009] [10] C. E. Rickart, General Theory of Banach Algebras, Krieger, New York 1960. | Zbl 0095.09702

[00010] [11] Á. Rodríguez-Palacios, Automatic continuity with application to C*-algebras, Math. Proc. Cambridge Philos. Soc., to appear. | Zbl 0762.46052

[00011] [12] B. J. Tomiuk and B. Yood, Incomplete normed algebra norms on Banach algebras, Studia Math. 95 (1989), 119-132. | Zbl 0715.46024

[00012] [13] B. Yood, Homomorphisms on normed algebras, Pacific J. Math. 8 (1958), 373-381. | Zbl 0084.33601