Linear Operators and Spectra

Part of the Progress in Mathematical Physics book series (PMP, volume 54)


This chapter recalls some basic concepts of the theory of linear operators in normed spaces, with emphasis on Hilbert spaces. It also fixes some notation and introduces the concept of a spectrum along with various proofs. Compact operators are discussed. The readers are supposed to have had a first contact with functional analysis.


Hilbert Space Banach Space Vector Space Linear Operator Orthonormal Basis 
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© Birkhäuser Verlag AG 2009

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