| Title:
|
The trace of finite and nuclear elements in Banach algebras (English) |
| Author:
|
Puhl, J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
656-676 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46H05 |
| MSC:
|
47B10 |
| MSC:
|
47C05 |
| idZBL:
|
Zbl 0394.46041 |
| idMR:
|
MR506439 |
| DOI:
|
10.21136/CMJ.1978.101567 |
| . |
| Date available:
|
2008-06-09T14:30:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101567 |
| . |
| Reference:
|
[1] J. С. Alexander: Compact Banach algebras.Proc. London Math. Soc. (3) 18 (1968), 1 - 18. Zbl 0184.16502, MR 0229040 |
| Reference:
|
[2] B. A. Barnes: A generalized Fredholm theory for certain maps in the regular representation of an algebra.Can. J. Math. 20, 495-504 (1968). MR 0232208, 10.4153/CJM-1968-048-2 |
| Reference:
|
[3] F. F. Bonsall J. Duncan: Complete normed algebras.New York, 1973. MR 0423029 |
| Reference:
|
[4] M. Freundlich: Completely continuous elements of a normed ring.Duke Math. J. 16 (1949), 273-283. Zbl 0033.28103, MR 0029482, 10.1215/S0012-7094-49-01626-9 |
| Reference:
|
[5] И. Ц. Гохберг M. Г. Креин: Введение в теорию линейных несамосопряженных операторов.Москва 1956. Zbl 1225.01060 |
| Reference:
|
[6] Т. Kato: Perturbation theory of linear operators.Berlin-Heidelberg-New York 1966. MR 0203473 |
| Reference:
|
[7] H. König: s-numbers, eigenvalues and the trace theorem in Banach spaces.to appear in Stud. math. MR 0583296 |
| Reference:
|
[8] A. Fletsch: Operator ideals.Berlin 1978. |
| Reference:
|
[9] A. Pietsch: Nuclear locally convex spaces.Berlin 1972. Zbl 0308.47024, MR 0350360 |
| Reference:
|
[10] J. Puhl: Riesz elements in Banach algebras.to appear. |
| Reference:
|
[11] C. E. Rickart: General theory of Banach algebras.van Nostrand, Princeton, 1960. Zbl 0095.09702, MR 0115101 |
| Reference:
|
[12] M. R. F. Smyth: Riesz Theory in Banach algebras.Math. Z. 145 (1975), 145-155. Zbl 0298.46049, MR 0394210, 10.1007/BF01214779 |
| Reference:
|
[13] A. E. Taylor: Introduction to functional analysis.New York 1958. Zbl 0081.10202, MR 0098966 |
| Reference:
|
[14] K. Vala: Sur les elements compacts d une algebra normee.Ann. Acad. Sci. Fenn. A. L 407 (1967), 1-7. MR 0222642 |
| Reference:
|
[15] K. Vala: On compact sets of compact operators.Ann. Acad. Sci. Fenn. A. L 351 (1964), 1 -8. Zbl 0132.09801, MR 0169078 |
| Reference:
|
[16] Pak-Ken Wong: A minimax formula for dual B*-algebras.Trans. Am. Math. Soc, Vol. 224, No 2, 1976(281-298). MR 0428047 |
| Reference:
|
[17] Pak-Ken Wong: The p-class in a dual B*-algebra.Trans. Amer. Math. Soc, Vol. 188 (1973), 437-448. MR 0358371 |
| Reference:
|
[18] K. Ylinen: Compact and finite-dimensional elements of normed algebras.Ann. Acad. Sci. Fenn. A. I. 428 (1968), 1-37. Zbl 0167.43301, MR 0238089 |
| . |
