On subadditive functionals and linear functionals on abelian group
نویسندگان
چکیده
منابع مشابه
Almost multiplicative linear functionals and approximate spectrum
We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...
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A slight modification of the example given shows that if N is chosen arbitrarily, there exists a limited region* having at least JV distinct points O whose conjugates D lie at infinity.f Theorem III becomes false if in the hypothesis the region R is not assumed limited, for the reader may verify that no point O of the region R has its conjugate at infinity if R is the entire plane slit along th...
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چکیده ندارد.
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A detailed analysis of minimax estimates of arbitrary linear functionals based on infinite dimensional Gaussian models has been provided by Donoho and Liu. In particular it has been shown that if the parameter space is convex then linear estimates can always be found which have maximum mean squared error within a small constant multiple of the minimax value. These linear estimates do however ha...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1964
ISSN: 0386-2194
DOI: 10.3792/pja/1195522720