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# WEAK OPERATOR TOPOLOGY

Produto Indisponível

## Sinopse

High Quality Content by WIKIPEDIA articles! In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H such that the functional sending an operator T to the complex number is continuous for any vectors x and y in the Hilbert space. THe strong operator topology, or SOT, on B(H) is the topology of pointwise convergence. BEcause the inner product is a continuous function, the SOT is stronger than WOT. THe following example shows that this inclusion is strict. LEt H = 2(N) and consider the sequence {Tn} where T is the unilateral shift. AN application of Cauchy-Schwarz shows that Tn 0 in WOT. BUt clearly Tn does not converge to 0 in SOT.

## Detalhes do Produto

• Ano:  2010
• País de Produção: Germany
• Código de Barras:  9786130363437
• ISBN:  6130363435