First and third boundary value problems for the equation of the second order with non-continuous coefficients
Zdeněk Mrkvička (1972)
Aplikace matematiky
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Displaying similar documents to “On Jensen's inequality for self-adjoint operators in Hilbert space”
First and third boundary value problems for the equation of the second order with non-continuous coefficients
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We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize...