- Introduction to Banach Spaces by Ali Nesin
Prerequisites: Mathematical maturity.
II. Introduction to Spectral Theory by Selçuk Demir
Hilbert Spaces. Operators on Hilbert spaces, adjoint of an operator, compact operators. Spectral theorem for compact self-adjoint operators. Some applications to group representations
Prerequisites: Basic real and complex analysis, linear algebra and some measure theory (Specially for some interesting examples).III. Vector Lattices, Banach Lattices and Positive Operators by Zafer Ercan
References:
[1] A.W. Wickstead, http://www.qub.ac.uk/puremaths/Staff/Anthony%20Wickstead/Positivity%20V/AWW1.pdf
[2] C.D. Aliprantis and O. Burkinshaw, Positive Operators, 1985.
[3] M. Nieberg, Banach Lattices, 1992