Theory and Applications of Volterra Operators in Hilbert Space

By Israel Gohberg, M. Krein. 2004

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Boundary Value Problems, Weyl Functions, and Differential Operators (2020, background): “For an introduction and comprehensive treatment of linear operators in Hilbert spaces and related topics we refer the reader to the standard textbooks [2, 133, 141, 272, 276, 341, 348, 598, 649, 650, 651, 652, 673, 691, 723, 738, 743, 752, 756, 757].”
Beurling-Malliavin theory for Toeplitz kernels (2007, background): “Applications of these results to Volterra operators, see [8], and higher order differential operators will be discussed in a separate paper.”
Continuous analogs of polynomials orthogonal on the unit circle. Krein systems (2009, background): “the upper-triangular operators. In CONTINUOUS ANALOGS OF POLYNOMIALS ... 11 general, the deﬁnition of lower(upper)-triangular operator depends on the choice of the so-called chain of orthoprojectors ([30], Chapter 4). The natural question is when can we factor the operator I+Kˆ R = (I+Lˆ)(I+Uˆ) (20)”
Square‐integrable solutions and Weyl functions for singular canonical systems (2011, neutral): “, the monographs [2, 28, 67].”
On the Best Constants in Some Non‐Commutative Martingale Inequalities (2005, background): “We refer to [7] and [11] for the above classical facts concerning T.”
Complex Symmetric Operators and Applications II (2005, background): “Volterra operators V of real type (that is, satisfying CV = VC ) were extensively studied by the Ukrainian school; see [ 27 ].”