نتایج جستجو برای: dilation operators

تعداد نتایج: 113471  

Journal: :Advances in operator theory 2023

We consider a dilation operator on Besov spaces $$B^s_{r,t}(K)$$ over local fields and estimate an norm such field for $$s > \sigma _r = \text {max}\big (\frac{1}{r} -1,\,0\big )$$ which depends the constant k unlike case of Euclidean spaces. In $${\mathbb {R}}^n,$$ it is independent k, appears limiting $$s=0$$ $$s=\sigma _r.$$ fields, still open.

2008
Cornelia Schneider Jan Vybíral

We consider dilation operators Tk : f → f(2 k ·) in the framework of Triebel-Lizorkin spaces F s p,q(R ). If s > n max ` 1 p − 1, 0 ́ , Tk is a bounded linear operator from F s p,q(R ) into itself and there are optimal bounds for its norm. We study the situation on the line s = n max ` 1 p − 1, 0 ́ , an open problem mentioned in [ET96, 2.3.1]. It turns out that the results shed new light upon the...

2001
Srdjan Petrović SRDJAN PETROVIĆ

In this paper we construct a special sort of dilation for an arbitrary polynomially bounded operator. This enables us to show that the problem whether every polynomially bounded operator is similar to a contraction can be reduced to a subclass of it.

Journal: :Advances in intelligent systems and computing 2021

Mathematical morphology (MM) is a theory of non-linear operators used for the processing and analysis images. Morphological neural networks (MNNs) are whose neurons compute morphological operators. Dilations erosions elementary MM. From an algebraic point view, dilation erosion that commute respectively with supremum infimum operations. In this paper, we present linear dilation-erosion perceptr...

2006
Michael Skeide

We construct a weak dilation of a not necessarily unital CP-semigroup to an E–semigroup acting on the adjointable operators of a Hilbert module with a unit vector. We construct the dilation in such a way that the dilating E–semigroup has a pre-assigned product system. Then, making use of the commutant of von Neumann correspondences, we apply the dilation theorem to proof that covariant represen...

2003
MICHAEL T. JURY DAVID W. KRIBS

Given a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries which satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in ...

2006
P. Burillo N. Frago R. Fuentes

Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, including as particular case, other ones existing in related literature In the definition of fuzzy erosio...

Journal: :Journal of Physics A: Mathematical and Theoretical 2018

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

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