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There is an outstanding problem in operator theory, the so-called, INVARIANT SUBSPACE PROBLEM: Given a complex Banach space X, which operators on X have non-trivial closed invariant subspaces? This problem has been open for more than half a century. In spite of momentous efforts by functional analysts, the problem continues to elude them even today. Until fairly recently, it was not known whether there was any operator T without a non-trivial closed invariant subspace.

Produktbeschreibung
There is an outstanding problem in operator theory, the so-called, INVARIANT SUBSPACE PROBLEM: Given a complex Banach space X, which operators on X have non-trivial closed invariant subspaces? This problem has been open for more than half a century. In spite of momentous efforts by functional analysts, the problem continues to elude them even today. Until fairly recently, it was not known whether there was any operator T without a non-trivial closed invariant subspace.
Autorenporträt
Dr Kulwinder Singh Parmar is an assistant Professor at Department of Mathematics, IKG Punjab Technical University, Jalandhar,Punjab. He did his Ph.D at Guru Gobind Singh Indraprastha University. He actively involved in research in the areas of Fractals, Wavelet, Numerical Methods, Weather forecasting etc & published more than 20 research papers.