Abstract
Most of linear algebra involves the study of transformations between linear spaces which preserve the linear structure, that is, linear transformations. Such is also the case in the study of Hilbert spaces. In the remainder of the book we shall be mainly concerned with bounded linear transformations acting on Hilbert spaces. Despite the importance of certain classes of unbounded linear transformations, we consider them only in the problems.
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© 1998 Springer Science+Business Media New York
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Douglas, R.G. (1998). Operators on Hilbert Space and C*-Algebras. In: Banach Algebra Techniques in Operator Theory. Graduate Texts in Mathematics, vol 179. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1656-8_4
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DOI: https://doi.org/10.1007/978-1-4612-1656-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98377-6
Online ISBN: 978-1-4612-1656-8
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