On rank one elements

Robin Harte

Studia Mathematica (1995)

  • Volume: 117, Issue: 1, page 73-77
  • ISSN: 0039-3223

Abstract

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

How to cite

top

Harte, Robin. "On rank one elements." Studia Mathematica 117.1 (1995): 73-77. <http://eudml.org/doc/216242>.

@article{Harte1995,
author = {Harte, Robin},
journal = {Studia Mathematica},
keywords = {radical; rank one elements; scarcity lemma; semisimple Banach algebras},
language = {eng},
number = {1},
pages = {73-77},
title = {On rank one elements},
url = {http://eudml.org/doc/216242},
volume = {117},
year = {1995},
}

TY - JOUR
AU - Harte, Robin
TI - On rank one elements
JO - Studia Mathematica
PY - 1995
VL - 117
IS - 1
SP - 73
EP - 77
LA - eng
KW - radical; rank one elements; scarcity lemma; semisimple Banach algebras
UR - http://eudml.org/doc/216242
ER -

References

top
  1. [1] B. Aupetit, A Primer on Spectral Theory, Springer, 1991. 
  2. [2] B. Aupetit and H. du T. Mouton, Spectrum preserving linear mappings in Banach algebras, Studia Math. 109 (1994), 91-100. Zbl0829.46039
  3. [3] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973. Zbl0271.46039
  4. [4] J. B. Conway, Functions of One Complex Variable, Springer, 1978. 
  5. [5] R. E. Harte, Invertibility and Singularity, Dekker, 1988. 
  6. [6] R. A. Hirschfeld and B. E. Johnson, Spectral characterization of finite-dimensional algebras, Indag. Math. 34 (1972), 19-23. Zbl0232.46043
  7. [7] A. A. Jafarian and A. R. Sourour, Spectrum-preserving linear maps, J. Funct. Anal. 66 (1986), 255-261. Zbl0589.47003
  8. [8] H. du T. Mouton, On inessential ideals in Banach algebras, Quaestiones Math. 17 (1994), 59-66. Zbl0818.46053
  9. [9] H. du T. Mouton and H. Raubenheimer, On rank one and finite elements in Banach algebras, Studia Math. 104 (1993), 211-219. Zbl0814.46035
  10. [10] J. Puhl, The trace of finite and nuclear elements in Banach algebras, Czechoslovak Math. J. 28 (1978), 656-676. Zbl0394.46041

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.