Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd How small can a sum of idempotents be? (English) Zbl 1504.47063 Integral Equations Oper. Theory 92, No. 1, Paper No. 10, 34 p. (2020). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47C05 15A24 46H05 47B99 PDFBibTeX XMLCite \textit{H. Bart} et al., Integral Equations Oper. Theory 92, No. 1, Paper No. 10, 34 p. (2020; Zbl 1504.47063) Full Text: DOI
Bart, H.; Ehrhardt, T.; Silbermann, B. Sums of idempotents in the Banach algebra generated by the compact operators and the identity. (English) Zbl 1042.46021 Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6877-2/hbk). Oper. Theory, Adv. Appl. 135, 39-60 (2002). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 46H05 47B99 PDFBibTeX XMLCite \textit{H. Bart} et al., in: Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. 39--60 (2002; Zbl 1042.46021)
Ehrhardt, T.; Rabanovich, V.; Samoilenko, Yu.; Silbermann, B. On the decomposition of the identity into a sum of idempotents. (English) Zbl 0980.46036 Methods Funct. Anal. Topol. 7, No. 2, 1-6 (2001). Reviewer: A.N.Kochubei (Kyïv) MSC: 46H05 47L80 PDFBibTeX XMLCite \textit{T. Ehrhardt} et al., Methods Funct. Anal. Topol. 7, No. 2, 1--6 (2001; Zbl 0980.46036)
Bart, H.; Ehrhardt, T.; Silbermann, B. Sums of idempotents and logarithmic residues in matrix algebras. (English) Zbl 1047.46037 Bart, H. (ed.) et al., Operator theory and analysis. The M. A. Kaashoek anniversary volume. Proceedings of the workshop, Amsterdam, Netherlands, November 12–14, 1997. Basel: Birkhäuser (ISBN 3-7643-6499-8/hbk). Oper. Theory, Adv. Appl. 122, 139-168 (2001). MSC: 46H05 47B99 PDFBibTeX XMLCite \textit{H. Bart} et al., in: Operator theory and analysis. The M. A. Kaashoek anniversary volume. Proceedings of the workshop, Amsterdam, Netherlands, November 12--14, 1997. Basel: Birkhäuser. 139--168 (2001; Zbl 1047.46037)
Roch, Steffen; Silbermann, Bernd Continuity of generalized inverses in Banach algebras. (English) Zbl 0962.47002 Stud. Math. 136, No. 3, 197-227 (1999). Reviewer: Wiesław Tadeusz Zelazko (Warszawa) MSC: 47A05 46H05 47A10 47B06 PDFBibTeX XMLCite \textit{S. Roch} and \textit{B. Silbermann}, Stud. Math. 136, No. 3, 197--227 (1999; Zbl 0962.47002) Full Text: EuDML
Bart, H.; Ehrhardt, T.; Silbermann, B. Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. (English) Zbl 0894.46038 Integral Equations Oper. Theory 29, No. 2, 155-186 (1997). MSC: 46J05 30G30 46H05 PDFBibTeX XMLCite \textit{H. Bart} et al., Integral Equations Oper. Theory 29, No. 2, 155--186 (1997; Zbl 0894.46038) Full Text: DOI
Bart, H.; Ehrhardt, T.; Silbermann, B. Logarithmic residues in Banach algebras. (English) Zbl 0811.46043 Integral Equations Oper. Theory 19, No. 2, 135-152 (1994). Reviewer: D.Khavinson (Fayetteville) MSC: 46H05 47A56 30G30 16R99 PDFBibTeX XMLCite \textit{H. Bart} et al., Integral Equations Oper. Theory 19, No. 2, 135--152 (1994; Zbl 0811.46043) Full Text: DOI
Bart, H.; Ehrhardt, T.; Silbermann, B. Zero sums of idempotents in Banach algebras. (English) Zbl 0811.46042 Integral Equations Oper. Theory 19, No. 2, 125-134 (1994). Reviewer: D.Khavinson (Fayetteville) MSC: 46H05 16U99 16Rxx 46H15 PDFBibTeX XMLCite \textit{H. Bart} et al., Integral Equations Oper. Theory 19, No. 2, 125--134 (1994; Zbl 0811.46042) Full Text: DOI
Krupnik, Naum; Silbermann, Bernd The structure of some Banach algebras fulfilling a standard identity. (English) Zbl 0699.46023 Math. Nachr. 142, 175-180 (1989). Reviewer: B.Aupetit MSC: 46H05 PDFBibTeX XMLCite \textit{N. Krupnik} and \textit{B. Silbermann}, Math. Nachr. 142, 175--180 (1989; Zbl 0699.46023) Full Text: DOI
Roch, Steffen; Silbermann, Bernd Algebras generated by idempotents and the symbol calculus for singular integral operators. (English) Zbl 0658.47050 Integral Equations Oper. Theory 11, No. 3, 385-419 (1988). Reviewer: L.Hącia MSC: 47Gxx 46H05 45E10 PDFBibTeX XMLCite \textit{S. Roch} and \textit{B. Silbermann}, Integral Equations Oper. Theory 11, No. 3, 385--419 (1988; Zbl 0658.47050) Full Text: DOI
Böttcher, A.; Krupnik, N.; Silbermann, B. A general look at local principles with special emphasis on the norm computation aspect. (English) Zbl 0655.46036 Integral Equations Oper. Theory 11, No. 4, 455-479 (1988). Reviewer: A.Wulfsohn MSC: 46H05 46L05 47C99 45P05 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Integral Equations Oper. Theory 11, No. 4, 455--479 (1988; Zbl 0655.46036) Full Text: DOI