Bounded and Unbounded Linear Operators

Paul H. Bezandry () and Toka Diagana ()
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Paul H. Bezandry: Howard University, Department of Mathematics
Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 2 in Almost Periodic Stochastic Processes, 2011, pp 21-59 from Springer

Abstract: Abstract This chapter is devoted to the basic material on operator theory, semigroups, evolution familites, interpolation spaces, fractional powers of operators, intermediate spaces, and their basic properties needed in the sequel. Various illustrative examples are discussed in-depth. The estimates in Lemma 2.2 (Diagana et al. [52]) and Lemma 2.4 (Diagana [62]) will play a key role throughout the book. Detailed proofs of these lemmas are discussed.

Keywords: Linear Operator; Orthonormal Basis; Compact Operator; Bounded Linear Operator; Fractional Power (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-9476-9_2

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DOI: 10.1007/978-1-4419-9476-9_2

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