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Product of spectral measures. (English) Zbl 0159.19603

##### Keywords:
functional analysis
Full Text:
##### References:
 [1] W. G. Bade: Unbounded spectral operators. Pacific J. Math. 4 (1954), 373 - 392. · Zbl 0056.34801 [2] R. G. Bartle N. Dunford, J. T. Schwartz: Weak compactness and vector measures. Canadian J. Math. 7 (1955), 289-305. · Zbl 0068.09301 [3] N. Dunford: Spectral operators. Pacific J. Math. 4 (1954), 321 - 354. · Zbl 0056.34601 [4] N. Dunford, J. T. Schwartz: Linear Operators. Part I. General theory. Interscience Publ. New York 1958. · Zbl 0084.10402 [5] S. R. Foguel: Sums and products of commuting spectral operators. Ark. Mat. 3 (1957), 449-461. · Zbl 0081.12301 [6] P. R. Halmos: Measure Theory. Van Nostrand, New York, 1950. · Zbl 0040.16802 [7] S. Kakutani: An example concerning uniform boundedness of spectral measures. Pacific J. Math. 4 (1954), 363-372. · Zbl 0056.34702 [8] S. Kantorovitz: On the characterization of spectral operators. Trans. Amer. Math. Soc. III (1964), 152-181. · Zbl 0139.08702 [9] I. Kluvánek: Miery v kartézskych súčinoch. Čas. pěst. mat. 92 (1967), 282-286. [10] C. A. McCarthy: Commuting Boolean algebras of projections. Pacific J. Math. 11 (1961), 295-307. · Zbl 0107.09502 [11] C A. McCarthy: Commuting Boolean algebras of projections. II. Boundedness in $$L_ p$$. Proc. Amer. Math. Soc. 15 (1964), 781-787. · Zbl 0127.33003 [12] J. Wermer: Commuting spectral measures on Hilbert space. Pacific J. Math. 4 (1954), 355-361. · Zbl 0056.34701
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