相关论文: Cayley-Hamilton Decomposition and Spectral Asymmet…

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper is withdrawn from submission due to a critical error in the proof of main theorem.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn due to a crucial theoretical error.

This paper is withdrawn because of an error in Lemma 3.1

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has been withdrawn by the authors; the main conclusion is incorrect, as some of the crucial calculations were not properly converged.

This paper has been withdrawn by the author due to a crucial error.

This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.