0000000000387916

AUTHOR

Erhan ÇAlışkan

showing 3 related works from this author

Compactness and $s$-numbers for polynomials

2018

Pure mathematicsCompact spaceGeneral Mathematics010102 general mathematics010103 numerical & computational mathematics0101 mathematics01 natural sciencesMathematicsRendiconti Lincei - Matematica e Applicazioni
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On distinguished polynomials and their projections

2012

We study projections and injections between projective tensor products spaces or spaces of polynomials and we show that the example of a polynomial constructed in (4), that is neither p-dominated nor compact, can be identified with the projection map of the symmetric tensor product onto the space. Also we give a characterization of the weak and quasi approximation properties on symmetric tensor products.

Pure mathematicsTensor productTensor product of algebrasPower sum symmetric polynomialGeneral MathematicsTopological tensor productMathematical analysisTensor product of Hilbert spacesSymmetric tensorElementary symmetric polynomialTensor densityMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
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Behavior of holomorphic mappings on $p$-compact sets in a Banach space

2015

We study the behavior of holomorphic mappings on p-compact sets in Banach spaces. We show that the image of a p-compact set by an entire mapping is a p-compact set. Some results related to the localization of p-compact sets in the predual of homogeneous polynomials are also obtained. Finally, the "size" of p-compactness of the image of the unit ball by p-compact linear operators is studied.

Discrete mathematicsPure mathematicsBergman spaceApproximation propertyApplied MathematicsGeneral MathematicsHolomorphic functional calculusBanach spaceHolomorphic functionBanach manifoldInfinite-dimensional holomorphyIdentity theoremMathematicsTransactions of the American Mathematical Society
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