AbstractWe apply a result of Tremon to show that any two Banach-space projections of the same finite rank can be connected by a projection-valued polynomial path of degree not exceeding 3. Then we construct two similar infinite projections P and Q on a Hilbert space such that 1 is an eigenvalue of P′+Q′ for all projections P′ and Q′ with ‖P−P′‖<1 and ‖Q−Q′‖<1; this disproves a conjecture studied in [1]
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k =...
International audienceWe introduce the imaginary projection of a multivariate polynomial f ∈ C[z] as...
We investigate the problem of the uniqueness of the extension of n-homogeneous polynomials in Banach...
AbstractWe apply a result of Tremon to show that any two Banach-space projections of the same finite...
AbstractWith each polynomial p of degree n whose roots lie inside the unit disc we may associate the...
AbstractForγ∈(0,1/2] we constructn-dimensional polynomial subspacesYnofC[−1,1] andL1(−1,1) such that...
Let H = H+ ⊕ H− be a fixed orthogonal decomposition of a Hilbert space, with both subspaces of infin...
Let P(A) be the set of idempotents in a finite-dimensional real algebra A. Let p and q be idempotent...
In a C∗-algebra, the norm estimate ‖p − q ‖ ≤ 1 holds for any pair of projections. If ‖p − q ‖ <...
We study the method of cyclic projections when applied to closed and linear subspaces $M_i$, $i=1,\l...
AbstractGiven a complex Hilbert space H, we study the differential geometry of the manifold M of all...
AbstractLet X be a Banach space and Y a finite-dimensional subspace of X. Let P be a minimal project...
Abstract. A necessary and sufficient condition for existence of a Banach space with a finite dimensi...
AbstractLet B(H) be the set of all bounded linear operators on a Hilbert space H. An operator A∈B(H)...
AbstractA systematic account is given of the properties and applications of the notion of infinite c...
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k =...
International audienceWe introduce the imaginary projection of a multivariate polynomial f ∈ C[z] as...
We investigate the problem of the uniqueness of the extension of n-homogeneous polynomials in Banach...
AbstractWe apply a result of Tremon to show that any two Banach-space projections of the same finite...
AbstractWith each polynomial p of degree n whose roots lie inside the unit disc we may associate the...
AbstractForγ∈(0,1/2] we constructn-dimensional polynomial subspacesYnofC[−1,1] andL1(−1,1) such that...
Let H = H+ ⊕ H− be a fixed orthogonal decomposition of a Hilbert space, with both subspaces of infin...
Let P(A) be the set of idempotents in a finite-dimensional real algebra A. Let p and q be idempotent...
In a C∗-algebra, the norm estimate ‖p − q ‖ ≤ 1 holds for any pair of projections. If ‖p − q ‖ <...
We study the method of cyclic projections when applied to closed and linear subspaces $M_i$, $i=1,\l...
AbstractGiven a complex Hilbert space H, we study the differential geometry of the manifold M of all...
AbstractLet X be a Banach space and Y a finite-dimensional subspace of X. Let P be a minimal project...
Abstract. A necessary and sufficient condition for existence of a Banach space with a finite dimensi...
AbstractLet B(H) be the set of all bounded linear operators on a Hilbert space H. An operator A∈B(H)...
AbstractA systematic account is given of the properties and applications of the notion of infinite c...
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k =...
International audienceWe introduce the imaginary projection of a multivariate polynomial f ∈ C[z] as...
We investigate the problem of the uniqueness of the extension of n-homogeneous polynomials in Banach...
DOI
Add to ORKG