×

zbMATH — the first resource for mathematics

A joint spectrum for several commuting operators. (English) Zbl 0233.47024

MSC:
47C05 Linear operators in algebras
47A60 Functional calculus for linear operators
47B48 Linear operators on Banach algebras
46J10 Banach algebras of continuous functions, function algebras
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47A10 Spectrum, resolvent
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Arens, R, The analytic-functional calculus in commutative topological algebras, Pacific J. math., 11, 405-429, (1961) · Zbl 0109.34203
[2] Auslander, M; Buchsbaum, D.A, Codimension and multiplicity, Ann. math., 68, 625-657, (1958) · Zbl 0092.03902
[3] Bredon, G.E, Sheaf theory, (1967), McGraw-Hill Book Co New York · Zbl 0158.20505
[4] Gleason, A.M, The abstract theorem of Cauchy-Weil, Pacific J. math., 12, 511-525, (1962) · Zbl 0117.09302
[5] Gleason, A.M, Finitely generated ideals in Banach algebras, J. math. mech., 13, 125-132, (1964) · Zbl 0117.34105
[6] Gunning, R.C; Rossi, H, Analytic functions of several complex variables, (1965), Prentice-Hall Inc Englewood Cliffs, N.J · Zbl 0141.08601
[7] Hörmander, L, An introduction to complex analysis in several variables, (1966), Van Nostrand Princeton, N.J · Zbl 0138.06203
[8] Koszul, J.L, Homologie et cohomologie des algèbres de Lie, Bull. soc. math. France, 78, 65-127, (1950) · Zbl 0039.02901
[9] MacLane, S, Homology, (1963), Springer-Verlag New York/Berlin · Zbl 0133.26502
[10] {\scJ. L. Taylor}, “Analytic-Functional Calculus for Several Commuting Operators,” Acta Math. (to appear). · Zbl 0233.47025
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.