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Certain Types of Linear Operators on Probabilistic Hilbert Space
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The purpose of this book is to present certain types of linear operators on Probabilistic Hilbert Space. The definition of these operators is based on the definition of probabilistic inner product space which was first given by Schweizer and Sklar in 1983. Some authors, later, studied this concept and introduced a new definition for the probabilistic inner product space (PIP-space).This new definition is called (The modified probabilistic inner product space). This book actually centers on introducing the Adjoint operator, Self-adjoint operator, F-bounded operator, F-continuous operator and F-compact operator that are defined on probabilistic Hilbert space. Their properties and connections are also discussed.
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