New measures of independence for n random variables, based on their moments, are studied. A scale of degrees of independence for random variables which starts With uncorrelatedness （for n = 2） and finishes at indepe...New measures of independence for n random variables, based on their moments, are studied. A scale of degrees of independence for random variables which starts With uncorrelatedness （for n = 2） and finishes at independence is constructed. The scale provides a countable linearly ordered set of measures of independence.展开更多
Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that th...Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that the dual of a Banach space X contains a norming subspace isomorphic to l1 provided that the following two conditions are satisfied： （1） X＊ contains a subspace isomorphic to l1; and （2） X＊ contains a separable norming subspace.展开更多
文摘New measures of independence for n random variables, based on their moments, are studied. A scale of degrees of independence for random variables which starts With uncorrelatedness （for n = 2） and finishes at independence is constructed. The scale provides a countable linearly ordered set of measures of independence.
文摘Norming subspaces are studied widely in the duality theory of Banach spaces. These subspaces are applied to the Borel and Baire classifications of the inverse operators. The main result of this article asserts that the dual of a Banach space X contains a norming subspace isomorphic to l1 provided that the following two conditions are satisfied： （1） X＊ contains a subspace isomorphic to l1; and （2） X＊ contains a separable norming subspace.
