Titlebook: Linear Operator Theory in Engineering and Science; Arch W. Naylor,George R. Sell Book 1982 Springer-Verlag New York Inc. 1982 Linear Opera

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Introduction,A great number of the mathematical problems of engineering and science can be fruitfully viewed as what are often referred to as “black box problems.” One puts an “input” into a black box (Figure 1.1.1), the black box hums and whirls inside, and out comes an “output.” Black box problems are questions about what black boxes do.

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Set-Theoretic Structure,The purpose of this chapter is to present a brief review of certain basic set-theoretic concepts. The reader already familiar with these concepts may skim the chapter to develop familiarity with the notational conventions and then go on to Chapter 3.

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Analysis of Unbounded Operators,In the last chapter we discussed the concept of weighted sums of projections. We saw that every compact normal operator can be expressed as a weighted sum of projections. Compact operators are, of course, bounded operators.

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Linear Operator Theory in Engineering and Science978-1-4612-5773-8Series ISSN 0066-5452 Series E-ISSN 2196-968X

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Combined Topological and Algebraic Structure,(Section 3). This is an algebraic concept. Our purpose in this chapter is to introduce a new class of spaces which, among other things, allows one to combine the two concepts of continuity and linearity. That is, we shall introduce the important concept of a continuous linear transformation.

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Book 1982nalysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, .Linear Opera

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