A quasi-nilpotent operator with reflexive commutant, II

V. Müller; M. Zając

Displaying similar documents to “A quasi-nilpotent operator with reflexive commutant, II”

Schrödinger operators with form-bounded potentials in $L^{p}$ -spaces

M. A. Perelmuter (1990)

Annales de l'I.H.P. Physique théorique

Similarity:

Hyperreflexive operators on finite dimensional Hilbert spaces

Štefan Drahovský, Michal Zajac (1993)

Mathematica Bohemica

Similarity:

In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.

On topologically nilpotent algebras

J. Miziołek, T. Müldner, A. Rek (1972)

Studia Mathematica

Similarity:

Volume ratios in $L_{p}$ -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

Similarity:

There exists an absolute constant $c_{0}$ such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k≤ n/2 such that $i n f_{e l l i p s o i d ε \subset B_{E}} {(v o l (B_{E}) / v o l (ε))}^{1 / n} \leq c_{0} i n f_{z o n o i d Z \subset B_{F}} {(v o l (B_{F}) / v o l (Z))}^{1 / k}$ . The concept of volume ratio with respect to $ℓ_{p}$ -spaces is used to prove the following distance estimate for $2 \leq q \leq p < \infty$ : $s u p_{F \subset ℓ_{p}, d i m F = n} i n f_{G \subset L_{q}, d i m G = n} d (F, G) \sim_{c_{p q}} n^{(q / 2) (1 / q - 1 / p)}$ .

On an extension of norms from a subspace to the whole Banach space keeping their rotundity

M. Fabian (1995)

Studia Mathematica

Similarity:

Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.

Universal solutions of a nonlinear heat equation on $ℝ^{N}$

Thierry Cazenave, Flávio Dickstein, Fred B. Weissler (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

In this paper, we study the relationship between the long time behavior of a solution $u (t, x)$ of the nonlinear heat equation $u_{t} - Δ u + {| u |}^{α} u = 0$ on $ℝ^{N}$ (where $α > 0$ ) and the asymptotic behavior as $| x | \to \infty$ of its initial value $u_{0}$ . In particular, we show that if the sequence of dilations $λ_{n}^{2 / α} u_{0} (λ_{n} \cdot)$ converges weakly to $z (\cdot)$ as $λ_{n} \to \infty$ , then the rescaled solution $t^{1 / α} u (t, \cdot \sqrt{t})$ converges uniformly on $ℝ^{N}$ to $𝒰 (1) z$ along the subsequence $t_{n} = λ_{n}^{2}$ , where $𝒰 (t)$ is an appropriate flow. Moreover, we show there exists an initial value $U_{0}$ such that the set of all possible $z$ attainable...

Pointwise estimates for modified positive linear operators

Cao, Jia-Ding, Gonska, Heinz H. (1989)

Portugaliae mathematica

Similarity:

Displaying similar documents to “A quasi-nilpotent operator with reflexive commutant, II”

Schrödinger operators with form-bounded potentials in L p -spaces

Hyperreflexive operators on finite dimensional Hilbert spaces

On topologically nilpotent algebras

Volume ratios in L p -spaces

On an extension of norms from a subspace to the whole Banach space keeping their rotundity

Universal solutions of a nonlinear heat equation on ℝ N

Pointwise estimates for modified positive linear operators

Schrödinger operators with form-bounded potentials in $L^{p}$ -spaces

Volume ratios in $L_{p}$ -spaces

Universal solutions of a nonlinear heat equation on $ℝ^{N}$