Adjoint Maps on H-Semi Vector Spaces
Keywords:
vector, encounter, situationsAbstract
In practical situations we often encounter semi vector spaces. Semi vector spaces are algebraic structures analogous to vector spaces with the base fields replaced by semifields. Semi vector spaces with an inner product are called inner product semi vector spaces. Metrizable inner product semi vector spaces which are complete with respect to the induced metric are called H-semi vector spaces.
In this paper we discuss certain fundamental properties of adjoint maps on H-semi vector spaces.
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References
I.N. Herstein- Topics in Algebra. Wiley Eastern Limited,(1975).
Kaplemsky, Irving – Fields and Rings. University of Chicago , (1972).
Walter Rudin - Functional Analysis. Tata McGraw Hill (New Delhi), (2011).
K. Chandrasekara Rao - Functional Analysis. Norosa Publishing House, New Delhi (2009).
E. Kreyszig- Introductory Functional Analysis with Applications. John Wiley and Sons, New York, (1978).
B.V. Limaye - Functional Analysis. New Age International Publishes, New Delhi, (1996).
Vasantha Kandasamy - W.B., Smarandache Semirings, Semifields and Semivector spaces. American Research Press, Rehoboth, (2002).
Josef Janyˇska , Marco Modugno , Raffaele Vitolo – Semi Vector Spaces and Units of Measurement. (2007).
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