Let (v1, v2, v3,. ) be a sequence of elements of a Hilbert space, and suppose that (one or both of) the inequalities hold for every finite sequence of scalars (ai). If an element v0 is adjoined to (vi), then the resulting set satisfies (one or both of) where, denoting the norm of vo by r and its distance from the closed linear span of the vi by δ,. © 1995 American Mathematical Society
We give some inequalities related to a large class of operator norms, the so-called Qnorms, for a (...
Abstract. We prove in particular that for the Hilbert transform, for 1 < p < ∞ and a weight w ...
The classical Bohr's inequality states that| z + w |2 ≤ p | z |2 + q | w |2 for all z, w ∈ C and all...
Abstract. Let H denote a separable Hilbert space and let B(H) be the space of bounded and linear ope...
Let H be a real, separable, in\u85nite dimensional Hilbert space. We will only need nite dimensional...
The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert...
We obtain a new inequality for frames in Hilbert spaces associated with a scalar and a bounded linea...
International audienceWe establish a Pythagorean theorem for the absolute values of the blocks of a ...
AbstractGiven bounded positive invertible operators A and B on a Hilbert space H, it is shown that t...
AbstractWe extend the celebrated Löwner–Heinz inequality by showing that if A,B are Hilbert space op...
The Operator Kantorovich Inequality (R2 − r2) u∗(a∗a) u ≤ R2 (u∗a∗u)(u∗au) holds for a wide class ...
Abstract. Let A and B be strictly positive operators on a Hilbert space H such that 0 < m B M for...
Abstract. Some recent inequalities for the norm and the numerical radius of linear operators in Hilb...
AbstractAn equivalent formulation of the von Neumann inequality states that the backward shift S* on...
Let A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12and the norm of x ϵ H b...
We give some inequalities related to a large class of operator norms, the so-called Qnorms, for a (...
Abstract. We prove in particular that for the Hilbert transform, for 1 < p < ∞ and a weight w ...
The classical Bohr's inequality states that| z + w |2 ≤ p | z |2 + q | w |2 for all z, w ∈ C and all...
Abstract. Let H denote a separable Hilbert space and let B(H) be the space of bounded and linear ope...
Let H be a real, separable, in\u85nite dimensional Hilbert space. We will only need nite dimensional...
The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert...
We obtain a new inequality for frames in Hilbert spaces associated with a scalar and a bounded linea...
International audienceWe establish a Pythagorean theorem for the absolute values of the blocks of a ...
AbstractGiven bounded positive invertible operators A and B on a Hilbert space H, it is shown that t...
AbstractWe extend the celebrated Löwner–Heinz inequality by showing that if A,B are Hilbert space op...
The Operator Kantorovich Inequality (R2 − r2) u∗(a∗a) u ≤ R2 (u∗a∗u)(u∗au) holds for a wide class ...
Abstract. Let A and B be strictly positive operators on a Hilbert space H such that 0 < m B M for...
Abstract. Some recent inequalities for the norm and the numerical radius of linear operators in Hilb...
AbstractAn equivalent formulation of the von Neumann inequality states that the backward shift S* on...
Let A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12and the norm of x ϵ H b...
We give some inequalities related to a large class of operator norms, the so-called Qnorms, for a (...
Abstract. We prove in particular that for the Hilbert transform, for 1 < p < ∞ and a weight w ...
The classical Bohr's inequality states that| z + w |2 ≤ p | z |2 + q | w |2 for all z, w ∈ C and all...
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