COPING AND DEFENSE IN RELATION TO ACCOMMODATION AMONG A SAMPLE OF BLIND MEN

The relation of 26 measures of ego functioning, as assessed by the responses of 101 blind men to the California Psychological Inventory, to employment status and travel freedom, and support was found for the construct validity of the ego measures, as well as Haan's proposition of complementary pairing of ego functions.

Abstract

A new theory of generalized functions has been developed by one of the authors (de Graaf). In this theory the analyticity domain of each positive self-adjoint unbounded operator $\\mathcal{A}$ in a Hilbert space $X$ is regarded as a test space denoted by $\\mathcal{S}_{x,\\mathcal{A}} $. In the first part of this paper, we consider perturbations $\\mathcal{P}$ on $\\mathcal{A}$ for which there exists a Hilbert space $Y$ such that $\\mathcal{A} + \\mathcal{P}$ is a positive self-adjoint operator in $Y$. In particular, we investigate for which perturbations $\\mathcal{P}$ and for which $\\nu > 0,S_{X,\\mathcal{A}^\\nu } \\subset \\mathcal{S}_{Y,(\\mathcal{A} + \\mathcal{P})^\\nu } $. The second part is devoted to applications. We construct Hankel invariant distribution spaces. The corresponding test spaces are described in terms of the $S_\\alpha ^\\beta $-spaces introduced by Gel’fand and Shilov. It turns out that the modified Laguerre polynomials establish an uncountable number of bases for the space of even entire functions in $S_\\mu ^\\mu (\\frac{1}{2} \\leqq \\mu \\leqq 1)$. For an even entire function $\\varphi $ we give necessary and sufficient conditions on the coefficients in the Fourier expansion with respect to each basis such that $\\varphi \\in S_\\mu ^\\mu $.