Structure of spectral measures on locally convex spaces

Walsh, Bertram

doi:10.1090/S0002-9947-1965-0196503-1

Structure of spectral measures on locally convex spaces
HTML articles powered by AMS MathViewer

by Bertram Walsh

Trans. Amer. Math. Soc. 120 (1965), 295-326

DOI: https://doi.org/10.1090/S0002-9947-1965-0196503-1

PDF | Request permission

References

William G. Bade, Unbounded spectral operators, Pacific J. Math. 4 (1954), 373–392. MR 63566
William G. Bade, Weak and strong limits of spectral operators, Pacific J. Math. 4 (1954), 393–413. MR 63567
William G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345–360. MR 73954, DOI 10.1090/S0002-9947-1955-0073954-0
William G. Bade, A multiplicity theory for Boolean algebras of projections in Banach spaces, Trans. Amer. Math. Soc. 92 (1959), 508–530. MR 108729, DOI 10.1090/S0002-9947-1959-0108729-0
R. G. Bartle, N. Dunford, and J. Schwartz, Weak compactness and vector measures, Canadian J. Math. 7 (1955), 289–305. MR 70050, DOI 10.4153/CJM-1955-032-1
N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1189, Hermann & Cie, Paris, 1953 (French). MR 0054161
Nelson Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321–354. MR 63563
Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
Shizuo Kakutani, An example concerning uniform boundedness of spectral measures, Pacific J. Math. 4 (1954), 363–372. MR 63565
Gottfried Köthe, Topologische lineare Räume. I, Die Grundlehren der mathematischen Wissenschaften, Band 107, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960 (German). MR 0130551
Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
Helmut Schaefer, Halbgeordnete lokalkonvexe Vektorräume, Math. Ann. 135 (1958), 115–141 (German). MR 106401, DOI 10.1007/BF01343098
Helmut Schaefer, Halbgeordnete lokalkonvexe Vektorräume. II, Math. Ann. 138 (1959), 259–286 (German). MR 106402, DOI 10.1007/BF01342907
Helmut Schaefer, Halbgeordnete lokalkonvexe Vektorräume. III, Math. Ann. 141 (1960), 113–142 (German). MR 120512, DOI 10.1007/BF01360167
Helmut H. Schaefer, Spectral measures in locally convex algebras, Acta Math. 107 (1962), 125–173. MR 141992, DOI 10.1007/BF02545784
H. H. Schaefer and B. J. Walsh, Spectral operators in spaces of distributions, Bull. Amer. Math. Soc. 68 (1962), 509–511. MR 141993, DOI 10.1090/S0002-9904-1962-10798-8
J. Schwartz, Perturbations of spectral operators, and applications. I. Bounded perturbations, Pacific J. Math. 4 (1954), 415–458. MR 63568
John Wermer, Commuting spectral measures on Hilbert space, Pacific J. Math. 4 (1954), 355–361. MR 63564