On the almost sure approximation of self-adjoint operators in L2 (0, 1)
1996 ◽
Vol 119
(3)
◽
pp. 537-543
Keyword(s):
There are several important theorems concerning the almost sure convergence of (monotone) sequences of orthogonal projections in L2-spaces. Let us mention here the martingale convergence theorems or the results on the developments of functions with respect to orthogonal systems. On the other hand every self-adjoint operator with the spectrum on the interval [0, 1] is a limit of some sequence of orthogonal projections in the weak operator topology (see [1]). This paper is devoted to a problem of approximation of a self-adjoint operator A acting in L2 (0, 1) by a sequence Pn of orthogonal projections in the sense that
1980 ◽
Vol 86
(3-4)
◽
pp. 261-274
Keyword(s):
1976 ◽
Vol 79
(1)
◽
pp. 71-99
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1904 ◽
Vol 24
◽
pp. 233-239
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2015 ◽
Vol 15
(3)
◽
pp. 373-389
1878 ◽
Vol 9
◽
pp. 332-333