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ON REDUCTIVE OPERATORS AND OPERATOR ALGEBRAS
Mathematics of the USSR-Izvestiya, 1976We prove a theorem on the structure of weakly closed reductive operator algebras. The proof essentially relies on a known result of V. I. Lomonosov on transitive operator algebras containing a nonzero compact operator. We deduce a number of corollaries which apply to the reductivity problem.Bibliography: 20 titles.
V S Šul'man, A I Loginov
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Operations with Hyponormal Operators
1989It is the aim of the present chapter to collect some of the operations which preserve the class of hyponormal operators. We have already seen in Example II.2.1 that the square of a hyponormal operator may not be hyponormal. Thus the analytic functional calculus is excluded from these operations.
Mircea Martin, Mihai Putinar
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Positive operators on operator algebras
Rendiconti del Circolo Matematico di Palermo, 1982Si dimostra la debole compattezza delle applicazioni lineari positive dalla parte autoaggiunta di un'algebra di von Neumann su uno spazio di Banach parzialmente ordinato, separabile, normale.
N. Azarnia +3 more
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Operation and Operation Analysis
2020The operation of marine nuclear power plant is similar to that of NPPs [1], mainly including initial start-up, normal cold start-up, hot start-up, steady-power operation, variable condition operation, abnormal operating condition, accident operating condition, hot shutdown and cold shutdown.
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Operators and Operator Algebras
1973Almost all the material discussed in this chapter will be needed later but a reader who is somewhat familiar with it already might prefer to use it only for reference during the detailed study of some of the later chapters. The topics of this chapter are both important and interesting. The following elementary and concise summary of this part of linear
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Free operators with operator coefficients
Colloquium Mathematicum, 1998Let \(\mathbb{F}_n\) denote the free group on \(n\) generators \(g_1, \dots, g_n\) and \(C^*_\lambda (\mathbb{F}_n)\) the \(C^*\)-algebra generated by the left regular representation \(\lambda\) of \(\mathbb{F}_n\) on \(l^2 (\mathbb{F}_n)\). Generalizing pioneering work of Kesten \textit{Ch. A. Akemann} and \textit{Ph. A. Ostrand} [Am. J. Math.
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Hermitian Operators and Unitary Operators
2018Hermitian operators and unitary operators are quite often encountered in mathematical physics and, in particular, quantum physics.
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