[PDF] Top 20 Translation invariant linear operators

... The problem is to decide, first, whether or not a linear operator between two function spaces on, say, IR or R+ which commutes with one or many translations on the two spaces is necessar[r] ... See full document

... and invariant subspaces is ...the invariant subspaces and the spectrum of operators on Banach ...compact operators are a key area of ...about operators on Banach and Hilbert ...compact ... See full document

... closing operators, respec- tively, with quadratic structuring ...morphological operators are invariant with respect to translation, and stable under curvature perturba- tions, and establish ... See full document

... but linear-time queries, and finally the schemes requiring more than linear time learning or more sophisticated updates are said to be model-based (see ... See full document

... bounded linear operators on H be denoted by B(H ...is invariant under similarity; that is, is P ∈ P and S ∈ B (H ) is an invertible operator, then S −1 PS is still an idempotent since (S −1 PS) 2 = S ... See full document

... Let Ᏼ be a separable, infinite-dimensional, complex Hilbert space and denote by ᏸ ( Ᏼ ) the algebra of all linear and bounded operators on Ᏼ . An operator T ∈ ᏸ ( Ᏼ ) is called hyponormal (notation: T ∈ H( Ᏼ ... See full document

... In this paper H will denote a complex separable Hilbert space and B H ( ) will denote the Banach algebra of bounded linear operators. If T ∈ B H ( ) , then T * denotes the adjoint of T , while Ker T ( ), ... See full document

... Remark 9 . The inequality (4.1), under the assumptions from Corollary 9, has been obtained in [6] for unitarily invariant norms. However, for the case of usual operator norms the result in Theorem 7 is more ... See full document

... An attempt of a de facto investigation of Problem . is by Donoghue, see Example  in [] and [], which comprise a more systematic study via Problem . or more generally via elementary invariant subspaces. The ... See full document

... commute with translation operators. This theorem was proved for locally compact abelian groups by Larsen in 1971 [8]. Then, Lasser extended this theorem on locally compact commutative DJS- hypergroups in ... See full document

... semi-infinite linear program (SILP) which was then re- duced to training a sequence of classical SVMs with a single kernel for which several sophisticated large-scale algorithms ... See full document

... Let H be a separable Hilbert space and let BH denote the algebra of all bounded For T c BH the spectrum, point spectrum, compression linear operators on H... oT,op T, For the appropriate[r] ... See full document

... R ) that is generated by the translation and multiplication semigroups. In particular, they proved that this algebra is reflexive and is equal to the Fourier binest algebra, that is, to the algebra of ... See full document

... The indefinite inner product · , · K on a Krein space K gives rise to a classification of elements of K. An element k ∈ K is called positive, negative, or neutral if k, k K > , k, k K < , or k, k K =  ... See full document

... bounded linear operator or operators on a complex, separable Hilbert space plays an important role in determining the structure of this operator or these ... See full document

... We focus on a type of combined signals whose forms remain invariant under the autoregressive operators. To extract the true signal from the autoregressive noise, we develop a strategy to separate parameters ... See full document

... efficiently with three sparse matrix-vector multi- plications, each with complexity linear in the num- ber of nonzeros in the sparse matrix involved, so that any dense intermediate matrix is avoided. As a result, ... See full document

... In this chapter, we study the performance of M R O C ’s under disturbances such as process an d /o r m easurement noise. In the previous chapter, we show th at the frame periods and output sampling periods must fulfill ... See full document

... random linear bounded operator if and only if there exists almost surely uniquely a mapping T from  to set of all linear bounded operators from X to Y such that for each x  X we have Ax     T  ... See full document

... Theorem 1.1 — Let F be a field with characteristic different from two. Let J : α → α J be a fixed non-trivial involutory automorphism on F. Let V be a vector space over F of dimension at least 2. Let T : V → V be an ... See full document