Zobrazeno 1 - 10
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pro vyhledávání: '"Manuilov, V. M."'
We introduce the notion of Hilbert $C^*$-module independence: Let $\mathscr{A}$ be a unital $C^*$-algebra and let $\mathscr{E}_i\subseteq \mathscr{E},\,\,i=1, 2$, be ternary subspaces of a Hilbert $\mathscr{A}$-module $\mathscr{E}$. Then $\mathscr{E}
Externí odkaz:
http://arxiv.org/abs/2104.09481
Publikováno v:
J. Math. Anal. Appl. 505 (2022), no. 1, 125471
We give a modified definition of a reproducing kernel Hilbert $C^*$-module (shortly, $RKHC^*M$) without using the condition of self-duality and discuss some related aspects; in particular, an interpolation theorem is presented. We investigate the ext
Externí odkaz:
http://arxiv.org/abs/2104.09552
Publikováno v:
Positivity 24 (2020), no. 4, 1169--1180
We present three versions of the Lax-Milgram theorem in the framework of Hilbert C*-modules, two for those over W*-algebras and one for those over C*-algebras of compact operators. It is remarkable that while the Riesz theorem is not valid for certai
Externí odkaz:
http://arxiv.org/abs/1905.00077
Autor:
Manuilov, V. M., Mishchenko, A. S.
We prove that for matrix algebras $M_n$ there exists a monomorphism $(\prod_n M_n/\oplus_n M_n)\otimes C(S^1) \to {\cal Q} $ into the Calkin algebra which induces an isomorphism of the $K_1$-groups. As a consequence we show that every vector bundle o
Externí odkaz:
http://arxiv.org/abs/funct-an/9707005
Autor:
Manuilov, V. M.
For a wide class of pairs of unbounded selfadjoint operators with bounded commutator we construct a K-theoretical integer invariant which is continuous, is equal to zero for commuting operators and is equal to one for the pair (x, i d/dx).
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/funct-an/9702013
Autor:
Manuilov, V. M.
It is well known that in the commutative case, i.e. for $A=C(X)$ being a commutative C*-algebra, compact selfadjoint operators acting on the Hilbert C*-module $H_A$ (= continuous families of such operators $K(x)$, $x\in X$) can be diagonalized if we
Externí odkaz:
http://arxiv.org/abs/funct-an/9605001
Autor:
Manuilov, V. M.
It is known that the classical Hilbert--Schmidt theorem can be generalized to the case of compact operators in Hilbert $A$-modules $H_A^*$ over a $W^*$-algebra of finite type, i.e. compact operators in $H_A^*$ under slight restrictions can be diagona
Externí odkaz:
http://arxiv.org/abs/funct-an/9501008
Autor:
Manuilov, V. M.
We show that elements of Hilbert $A$-module obtained by completion of the space of square-integrable functions on a space with measure $X$ taking values in a $C^*$-algebra $A$ cannot be viewed as $A$-valued functions on $X$ defined almost everywhere<
Externí odkaz:
http://arxiv.org/abs/funct-an/9501004
Autor:
Manuilov, V. M.
It is known that a continuous family of compact operators can be diagonalized pointwise. One can consider this fact as a possibility of diagonalization of the compact operators in Hilbert modules over a commutative W*-algebra. The aim of the present
Externí odkaz:
http://arxiv.org/abs/funct-an/9412004