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20022012
most citedA Generalization of Beurling's Theorem and Quasi-Inner Functions

2 citations · 3 across the 15 of their papers we have counts for

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math.GM2009

Sufficient conditions for the invariant Subspace Problem

Yun-Su Kim

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

math.GM2009

Algebraic Elements and Invariant Subspaces

Yun-Su Kim

We prove that if a completely non-unitary contraction T in L(H) has a non-trivial algebraic element h, then T has a non-trivial invariant subspace.

math.GM2009

Every transcendental operator has a non-trivial invariant subspace

Yun-Su Kim

In this paper, to solve the invariant subspace problem, contraction operators are classified into three classes ; (Case 1) completely non-unitary contractions with a non-trivial al…