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Differences of idempotents in C*-algebras = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I
On invertibility of some operator sumsWe study invertibility of some sums of linear bounded operators on Hilbert space (Theorem 1). A
A non-commutative version of Nikishin's theorem algebra, L1(τ) be the space of integrable self-adjoint operators, and S be the space of self
Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group operators associated with an isometric action of a discrete group of polynomial growth on a smooth closed
Integrable products of measurable operators operators, assume also that M is the *-algebra of all τ-measurable operators. We give the sufficient
Generalized Sobolev–Morrey estimates for hypoelliptic operators on homogeneous groups to the family of dilations (δλ) λ>. Consider the following hypoelliptic operator with drift on GL=∑i,j=1maij
AN INDEX FORMULA FOR GROUPS OF ISOMETRIC LINEAR CANONICAL TRANSFORMATIONSWe define a representation of the unitary group U (n) by metaplectic operators acting on L2(Rn
Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II of the boundedness in general Morrey-type spaces of various important operators of real analysis, namely
On the convergence of an explicit difference scheme for evolution variational inequalities with nonlocal space operator operator monotone with respect to gradient is considered. An explicit difference scheme with respect
To the spectral theory of discrete hausdorff operators Hausdorf
operator in the Lebesgue space is an annulus (or a disc) centered at the origin, provided
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