Indiana University Mathematics Journal, Volume 24Department of Mathematics, Indiana University, 1975 - Electronic journals |
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Page 702
... finitely additive signed measure on P ( S ) , such that 12 where Now and 1 = = 1111 == 4 ( ) = √ ƒ de for all ƒɛ L. 81 and 2 are finite positive finitely additive measures 1 ( E ) + 2 ( E ) ( see Yosida and Hewitt [ 11 ] ) . Hence 1 ...
... finitely additive signed measure on P ( S ) , such that 12 where Now and 1 = = 1111 == 4 ( ) = √ ƒ de for all ƒɛ L. 81 and 2 are finite positive finitely additive measures 1 ( E ) + 2 ( E ) ( see Yosida and Hewitt [ 11 ] ) . Hence 1 ...
Page 707
... finitely additive signed measure measures || L || = - where = ❤ 41 42 with 1 , 2 nonnegative , finitely additive 91 ( S ) + 2 ( S ) , and for all ƒ ɛ Y L ( f ) = It de = ❤1 ( see Taylor [ 9 ] ) . Now ¢ ( S ) = L ( 1 ) = L ( 1 ) = a ...
... finitely additive signed measure measures || L || = - where = ❤ 41 42 with 1 , 2 nonnegative , finitely additive 91 ( S ) + 2 ( S ) , and for all ƒ ɛ Y L ( f ) = It de = ❤1 ( see Taylor [ 9 ] ) . Now ¢ ( S ) = L ( 1 ) = L ( 1 ) = a ...
Page 713
... finitely additive probability measure if and only if there is a K- invariant finitely additive probability measure on the algebra of sets B. By applying condition ( b ) of Theorem 2.1 it is evident that the existence of such a finitely ...
... finitely additive probability measure if and only if there is a K- invariant finitely additive probability measure on the algebra of sets B. By applying condition ( b ) of Theorem 2.1 it is evident that the existence of such a finitely ...
Contents
J KOHN Riemann summability of multiple trigonometric series | 813 |
S BERGER E PODOLAK On the solutions of a nonlinear Dirichlet | 837 |
ARNOLD LEBOW Spatial homomorphisms of operator algebras | 865 |
2 other sections not shown
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A₁ admissible polynomials Amer analytic assume B₁ Banach space BK-space boundary value bounded linear operators C*-algebra C₁ cohomology compact completes the proof const constant contains continuous converges Corollary correspondence Date communicated defined denote dimensional domain eigenvalues equivalent estimate exists follows function g₁ given graded Lie algebra Hausdorff Hence Hilbert space homomorphism homotopy implies Index Indiana University Indiana University Mathematics induced inequality integral integral extension invariant subspaces invertible Lemma linear operators manifold Math N₁ norm obtain P₁ probability measure problem proof of Theorem Proposition prove quasinilpotent operator r₁ rank regular factorization result satisfies saturated chain semigroup sequence solution spatial homomorphism spectral subset Suppose T₁ Theorem Theorem 2.1 topology U₁ uniformly unique unitary University Mathematics University Mathematics Journal vector w₁ w₂ X₁ zero