Continuous extensions of spectral measures
Okada, S. ; Ricker, W.
Colloquium Mathematicae, Tome 70 (1996), p. 115-132 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:210417 
@article{bwmeta1.element.bwnjournal-article-cmv71i1p115bwm,
     author = {S. Okada and W. Ricker},
     title = {Continuous extensions of spectral measures},
     journal = {Colloquium Mathematicae},
     volume = {70},
     year = {1996},
     pages = {115-132},
     zbl = {0878.46035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv71i1p115bwm}
}

Okada, S.; Ricker, W. Continuous extensions of spectral measures. Colloquium Mathematicae, Tome 70 (1996) pp. 115-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv71i1p115bwm/

[000] [1] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, R.I., 1977.

[001] [2] P. G. Dodds and and B. de Pagter, Orthomorphisms and Boolean algebras of projections, Math. Z. 187 (1984), 361-381. | Zbl 0538.46009

[002] [3] P. G. Dodds and W. J. Ricker, Spectral measures and the Bade reflexivity theorem, J. Funct. Anal. 61 (1985), 136-163. | Zbl 0577.46043

[003] [4] N. Dunford and J. T. Schwartz, Linear Operators I: General Theory, Wiley-Interscience, New York, 1958. | Zbl 0084.10402

[004] [5] N. Dunford and J. T. Schwartz, Linear Operators III: Spectral Operators, Wiley-Interscience, New York, 1972. | Zbl 0128.34803

[005] [6] I. Kluvánek and G. Knowles, Vector Measures and Control Systems, North-Holland, Amsterdam, 1975. | Zbl 0316.46043

[006] [7] G. Köthe, Topological Vector Spaces I, Grundlehren Math. Wiss. 159, Springer, Heidelberg, 1969. | Zbl 0179.17001

[007] [8] G. Köthe, Topological Vector Spaces II, Grundlehren Math. Wiss. 237, Springer, New York, 1979. | Zbl 0417.46001

[008] [9] D. R. Lewis, Integration with respect to vector measures, Pacific J. Math. 33 (1970), 157-165. | Zbl 0195.14303

[009] [10] S. Okada and W. J. Ricker, Spectral measures which fail to be equicontinuous, Period. Math. Hungar. 28 (1994), 55-61. | Zbl 0822.46055

[010] [11] S. Okada and W. J. Ricker, Vector measures and integration in non-complete spaces, Arch. Math. (Basel) 63 (1994), 344-353. | Zbl 0822.46056

[011] [12] S. Okada and W. J. Ricker, The range of the integration map of a vector measure, ibid. 64 (1995), 512-522. | Zbl 0832.28014

[012] [13] E. G. Ostling and A. Wilansky, Locally convex topologies and the convex compactness property, Proc. Cambridge Philos. Soc. 75 (1974), 45-50. | Zbl 0277.46002

[013] [14] W. J. Ricker, Closed spectral measures in Fréchet spaces, Internat. J. Math. Math. Sci. 7 (1984), 15-21. | Zbl 0577.46044

[014] [15] W. J. Ricker, Remarks on completeness in spaces of linear operators, Bull. Austral. Math. Soc. 34 (1986), 25-35. | Zbl 0621.46004

[015] [16] W. J. Ricker, Completeness of the L1-space of closed vector measures, Proc. Edinburgh Math. Soc. 33 (1990), 71-78. | Zbl 0668.46019

[016] [17] W. J. Ricker, Uniformly closed algebras generated by Boolean algebras of projections in locally convex spaces, Canad. J. Math. 34 (1987), 1123-1146. | Zbl 0627.47024

[017] [18] W. J. Ricker and H. H. Schaefer, The uniformly closed algebra generated by a complete Boolean algebra of projections, Math. Z. 201 (1989), 429-439. | Zbl 0655.47038

[018] [19] B. Walsh, Structure of spectral measures on locally convex spaces, Trans. Amer. Math. Soc. 120 (1965), 295-326. | Zbl 0138.38501