This article is cited in 1 paper

Homogeneous functions of regular linear and bilinear operators

A. G. Kusraev

South Mathematical Institute Vladikavkaz Science Center of the RAS, Russia

Abstract: Using envelope representations explicit formulae for computing $\widehat{\varphi}(T_1,\dots,T_N)$ for any finite sequence of regular linear or bilinear operators $T_1,\dots,T_N$ on vector lattices are derived.

Key words: regular linear operator, regular bilinear operator, homogeneous functional calculus, envelope representation.

UDC: 517.98

MSC: 46A40, 47A50, 47A60, 47A63, 47B65

Received: 04.08.2009

Language: English

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