On rank one elements

• Autorzy: Robin Harte
• Języki publikacji: EN

Abstrakty

Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995-1996
• Tom: 117
• Numer: 1
• Strony: 73-77

Daty

wydano

1995

otrzymano

1995-03-15

poprawiono

1995-06-21

Twórcy

autor

Robin Harte

• School of Mathematics, Trinity College, Dublin, Ireland

Bibliografia

• [1] B. Aupetit, A Primer on Spectral Theory, Springer, 1991.
• [2] B. Aupetit and H. du T. Mouton, Spectrum preserving linear mappings in Banach algebras, Studia Math. 109 (1994), 91-100.
• [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973.
• [4] J. B. Conway, Functions of One Complex Variable, Springer, 1978.
• [5] R. E. Harte, Invertibility and Singularity, Dekker, 1988.
• [6] R. A. Hirschfeld and B. E. Johnson, Spectral characterization of finite-dimensional algebras, Indag. Math. 34 (1972), 19-23.
• [7] A. A. Jafarian and A. R. Sourour, Spectrum-preserving linear maps, J. Funct. Anal. 66 (1986), 255-261.
• [8] H. du T. Mouton, On inessential ideals in Banach algebras, Quaestiones Math. 17 (1994), 59-66.
• [9] H. du T. Mouton and H. Raubenheimer, On rank one and finite elements in Banach algebras, Studia Math. 104 (1993), 211-219.
• [10] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676.