Concrete Operators Spectral Theory Operators in Harmonic Analysis and Approximation : 22nd International Workshop in Operator Theory and its Applications Sevilla July 2011 This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory differential operators integral operators composition operators Toeplitz operators and more. The book also presents a large number of techniques in operator theory Israel Gohberg Memorial Session Research work of Israel Gohberg Some new refined Hardy type inequalities with breaking points p=2 or p=3 Non negative self adjoint extensions in rigged Hilbert space Matrices with bidiagonal decomposition accurate computations and corner cutting algorithms Boundary value problems for higher order elliptic equations in non smooth domains Additive maps preserving the inner local spectral radius and more