{"product_id":"operator-algebras-over-cayley-dickson-numbers-von-sergey-v-ludkovsky","title":"Operator algebras over Cayley-Dickson numbers","description":"\u003cp\u003eThe book is devoted to operator algebras and their spectral theory  over the Cayley-Dickson algebras.  In the first chapter non-commutative theory of  R-linear and additive operators in Banach spaces over the Cayley-Dickson algebras  is presented. Unbounded, as well as bounded quasi-linear operators  in the Hilbert spaces X over the Cayley-Dickson algebras are studied.  There are defined and  investigated also graded operators of projections and graded  projection valued measures. Theorems  about spectral representations of projection valued graded measures  of normal quasi-linear operators, which can be unbounded, are  proved.  More general properties of C*-algebras over the Cayley-Dickson algebras are given in Chapter 2.  For them analogs of theorems like Gelfand-Naimark-Segal's, von  Neuman's, Kaplansky's  and so on are proved. Then a topological and  algebraic irreducibility of the action of a C*-algebra of  quasi-linear operators in the Hilbert space over the Cayley-Dickson algebras is  described.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844314687\"\u003e\u003ch3\u003eOperator algebras, C*-algebras, spectra, spectral measures\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844314687","offer_id":39471145025629,"sku":"9783844314687","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5094b133-b05c-4384-b93f-c268e4e04d75.jpg?v=1775364025","url":"https:\/\/shop.autorenwelt.de\/en\/products\/operator-algebras-over-cayley-dickson-numbers-von-sergey-v-ludkovsky","provider":"Autorenwelt Shop","version":"1.0","type":"link"}