×

Existence of a non-strict morphism of quotient Banach spaces. (English) Zbl 0863.46017

Summary: We prove the existence of a morphism of quotient Banach spaces that is not strict.

MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices
46A17 Bornologies and related structures; Mackey convergence, etc.
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ionascu, E. and Vasilescu, F.-H., Joint spectral properties for permutable linear transformations,J. Reine Angew. Math.,426 (1992), 23–45. · Zbl 0745.47007 · doi:10.1515/crll.1992.426.23
[2] Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces I, Springer-Verlag, Berlin-Heidelberg-New York, 1977. · Zbl 0362.46013
[3] Vasilescu, F.-H., Spectral theory in quotient Frechet spaces, I,Rev. Roumaine Math. Pures Appl.,32 (1987), 561–579. · Zbl 0665.46058
[4] ———-, Spectral theory in quotient Frechet spaces, II,J. Operator Theory,21 (1989), 145–202. · Zbl 0782.46005
[5] ———-, Spectral capacity in quotient Frechet spaces,Oper. Theory Adv. Appl.,32 (1988), 243–263.
[6] Waelbroeck, L., Quotient Banach Spaces, Banach Center Publications, vol 8, Warsaw, 1982, pp. 553–562. · Zbl 0492.46012
[7] ———-, The Taylor Spectrum and Quotient Banach Spaces, Banach Center Publications, vol 8, Warsaw, 1982, pp. 573–578.
[8] ———-, Holomorphic functional calculus and quotient Banach algebra,Studia Math.,75 (1983), 273–286. · Zbl 0527.46041
[9] ———-, Holomorphic functions taking their values in a quotient bornological space,Oper. Theory Adv. Appl.,43 (1990), 323–335.
[10] Zhang, H., Thesis, Generalized Spectral Decomposition, Bucharest, Dec. 1987. (Romanian)
[11] ———-, Fredholm theory for morphisms in quotient Banach spaces,Rev. Roumaine Math. Pures Appl.,34 (1989), 309–316. · Zbl 0673.47013
[12] ———-, Analytic functional calculus for paraclosed morphisms in quotient Frechet spaces.,Rev. Roumaine Math. Pures Appl.,37 (1992), 265–276. · Zbl 0783.47020
[13] ———-, Uniqueness of analytic functional calculus for morphisms in quotient Frechet spaces,Rev.Roumaine Math. Pures Appl.,38 (1993), 95–97. · Zbl 0807.46064
[14] —–, Fredholm complex of quotient Banach spaces, Preprint (1993).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.