Abstract
In this chapter we discuss linear operators between linear spaces, but our presentation is restricted at this stage to the space of continuous (bounded) linear operators between normed spaces. When the target space is either \(\mathbb {R}\) or \(\mathbb {C}\), they are called (continuous linear) functionals and are used to define dual spaces and weak topologies.
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- 1.
Hugo Steinhaus, Polish mathematician, 1887–1972.
- 2.
Haim Brezis, French mathematician, born 1944.
- 3.
Hans Hahn, Austrian mathematician, 1879–1934.
References
Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, Berlin (2011)
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Moroşanu, G. (2019). Continuous Linear Operators and Functionals. In: Functional Analysis for the Applied Sciences. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-27153-4_4
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DOI: https://doi.org/10.1007/978-3-030-27153-4_4
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