Titlebook: Orthogonal Systems and Convolution Operators; Robert L. Ellis,Israel Gohberg Book 2003 Springer Basel AG 2003 C*-algebra.Operator theory.c

CANT

Convolution Equations on a Finite Interval,on .. and on .. (0,.) and on .. (0, .). Here ... (0, .) denotes the Banach space of all functions . =(.........). on (0, .) with ..,...,.. in ..(0, .) and with.We will abbreviate this norm to ‖. ‖ .. .. is defined similarly. An operator in the form of (0.1) we will refer to simply as a convolution operator on a finite interval.

蛰伏

mutineer

Mindfulness

Orthogonal Matrix Polynomials,This chapter is devoted to proving a matrix version of Krein’s Theorem. The proof relies on methods that are different from those used in the scalar case.

EPT

Orthogonal Operator-Valued Polynomials: First Generalization,In this chapter we will prove the first of two generalizations of Krein’s Theorem for operator-valued polynomials. The results of this chapter will be generalized in Chapter 9.

伙伴

Orthogonal Operator-Valued Polynomials,The main topic of this chapter is the second generalization of Krein’s Theorem for operator-valued polynomials. (See Chapter 6 for the first.) Here we consider the case in which no compactness assumption are made on the coefficients.

Expostulate

平常

,Discrete Infinite Analogue of Krein’s Theorem,In this chapter we obtain a generalization of Krein’s Theorem for a new case in which the finite block Toeplitz matrix of Chapter 5 is replaced by an infinite one. The role of the orthogonal matrix polynomials is played by orthogonal matrix functions.

keloid

支柱

978-3-0348-9418-0Springer Basel AG 2003